so if x +3y =1 how do i plug it in to -x +2y =4

-x +3y=1-x

3y/3=1-x/3

y=1/3 - x/3

y=-1/3x +1/3

Then I have to plug x into the y= the fractions confuse me

Answers

Answer 1

If x + 3y = 1, then x = 1 - 3y.

Then in the second equation, replace x with 1 - 3y :

-x + 2y = 4

- (1 - 3y) + 2y = 4

-1 + 3y + 2y = 4

-1 + 5y = 4

5y = 5

y = 1   →   x = -2

since x = 1 - 3•1 = 1 - 3 = -2.

Alternatively, you can instead solve for y in the first equation, so that if x + 3y = 1, you get

x + 3y = 1

3y = 1 - x

y = (1 - x)/3

Then replace y in the second equation:

-x + 2y = 4

-x + 2 ((1 - x)/3) = 4

-x + 2/3 (1 - x) = 4

Multiply both sides by 3 to get rid of the fraction:

-3x + 2 (1 - x) = 12

-3x + 2 - 2x = 12

-5x + 2 = 12

-5x = 10

x = -2   →   y = 1

since y = (1 - (-2))/3 = (1 + 2)/3 = 3/3 = 1.


Related Questions

I need help with this shi

Answers

x is domain and y is range... 2, 15, 13, 15, 21... youre welcome

PLEASE HELP!!!!!! ILL GIVE BRAINLIST
Daniel runs 4/5 mile in 1/4 hour.
Enter the number of miles Daniel runs in 1 hour if he continues at the same rate.

Answers

Answer:

16/5 or 3 1/5 mile

Step-by-step explanation:

Because he is traveling at a same rate, 4/5*4= 16/5.

Please Help! A car traveling at 15 m/s starts to decelerate steadily. It comes to a complete stop in 10 seconds. What is it's acceleration?

Answers

Answer:

initial velocity = 15 m/s

final velicity = 0 m/s

time required = 10sec

Formula is V = U + at

0 = 15 + a 10

-15 ÷ 10 = acc

acc = - 1.5 m/s^2

plz give branlist

2100 principle earning 4% compounded each year annually after 4 years

Answers

Answer:

$2,456.70

Step-by-step explanation:

If A1
= 9 and An = An-1 + 4 then find the value of A5
BRAINLIEST TO ANYONE

Answers

Answer:

25

Step-by-step explanation:

a1 = 9

a2 = a1 + 4

a2 = 9 + 4

a2 = 13

a3 = a2 + 4

a3 = 13 + 4

a3 = 17

a4 = 21

a5 = 21 + 4

a5 = 25

This can more easily be done by using this formula

L = a1 + (n - 1) * d

a1 = 9

n = 5

d = 4

L = 9 + (5 -1)*4

L = 9 + 4*4

L = 9 + 16

L = 25

what is 32% of 655????

Answers

Answer:

209.6

Step-by-step explanation:

Answer:

209.6

plz mark as brainliest

solve for x, −2 (4x+4) −3x − 2 = 34 help needed, thanks!

Answers

Hey there!

The answer to your question is [tex]-2 \frac{3}{11}[/tex]

[tex]-2(4x+4) - 3x -2= 34[/tex]       Write the equation

[tex]-8x - 8 - 3x - 2 = 34[/tex]           Distribute -2

[tex]-11x-10 = 34[/tex]                      Combine like terms

[tex]-11x = 24[/tex]                              Add 10 to both sides

[tex]-2 \frac{3}{11}[/tex]                                         Divide both sides by -11

Hope it helps and have a great day!

The diagram shows a track composed with a semicircle on each end. The area of the rectangle is 8,400 square meters. What is the perimeter of the th rack? Use 3.14 for pi

Answers

Answer:

468.4 meters

Step-by-step explanation:

Find the width of the rectangle.

The area of a rectangle is A=length*width. Substitute the values of length and area and solve for width.

A=length*width

8,400=140*width

60= width

Use the width of the rectangle to find the circumference of the semicircles. Since each semicircle is half of a​ circle, the perimeter of the two semicircles is equal to the circumference of one circle.

The circumference of a circle is equal to pi​d, where d is the diameter. The diameter of the semicircle is the same as the width of the rectangle.

​So, the diameter is 60 meters. Substitute the diameter into the formula for the circumference and simplify using 3.14 for pi.

≈188.4

(2 times 140)+ 188.4

​So, the perimeter of the track is 468.4 meters.

An initial population of 800 endangered birds doubles each year. How many birds will there be in 18 months

Answers

14,400 because 800 times 18 is 14,400

what is the slope of the line through the points P(6,8) and Q(7,3)

Answers

Answer:

q

Step-by-step explanation:

Please help at least one of them number it please!!!!

Answers

Answer:

Step-by-step explanation:

1. k - 5

2. 31g

3. b - 43

4. u - 36

5. 15r

6. 21/q

7. 7 + j or j + 7

8. 33/n

9. a + 23

10. 44m

11. c + 15

12. 10 -f

13. 39/e

14. k - 29

15. s - 38

16. v + 28

17. x - 11

18. y + 26

#1; k-45
#2; 31•g
#3; 43-b
#4; u-36
#5; r•15
#6; 21/q
#7; j+7
#8; 33/n
#9; a+23
#10; 44•m
#11; c+13
#12; 10-f
#13; 39/e
#14; h-29
#15; s-38
#16; 28•y
#17; x-11
#18; y+26

Round these numbers to the nearest tenths place (1 decimal place)

5) 41.35

Answers

Answer:

41.4 im pretty sure

Step-by-step explanation:

Which equations have the same value of x as 5/6x + 2/3 = -9? Select three options.

•6 (5/6x + 2/3) = -9

•6 (5/6x + 2/3) = 9(6)

•5x + 4 = -54

•5x + 4 = -9

•5x = -13

•5x = -58

ANSWER: B,C,F

Answers

Answer:

B, C, F C:

Step-by-step explanation:

Which is the correct answer? I already have something but not sure if correct

Answers

Answer:

83, not -83

Step-by-step explanation:

absolute value is ALWAYS POSITIVE!!! remember that!

what is -X - 29 = 15 - 3x

Answers

Answer: x = 22

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x =22

Step-by-step explanation:

ANSWER QUICKLY

what are 2 things you are allowed to assume for proofs if the picture show for congruency

Answers

Answer: 1. Perpendicular 2. Bisector 2. Perpendicular Bisector Theorem 3.

Step-by-step explanation:

A point is randomly chosen on the following. Find the probability that a point chosen at random will NOT be in the triangle.
(Round to the nearest hundredth)

Answers

Add all the numbers together which equals 44 and 44 to the nearest hundred is 6.633

What is the slope of the line through (2, 10) and (-2, 17)?

Answers

The slope would be -4/7

what is a cubic polynomial function with zeros 3,3 and -3? show your work.​

Answers

Answer:

Cubic polynomial function with zeros 3,3 and -3 is [tex]\mathbf{x^3-3x^2-9x+27=0}[/tex]

Step-by-step explanation:

We need to find a cubic polynomial function with zeros 3,3 and -3.

If zeros of polynomial are: 3,3,and -3

we can write:

x=3, x=3, x=-3

Or

We can write:

x-3=0, x-3=0, x+3=0

Now, we can write them as:

(x-3)(x-3)(x+3)=0

Multiplying the terms, we can find the polynomial:

[tex](x-3)(x-3)(x+3)=0\\(x(x-3)-3(x-3))(x+3)=0\\(x^2-3x-3x+9)(x+3)=0\\(x^2-6x+9)(x+3)=0\\x(x^2-6x+9)+3(x^2-6x+9)=0\\x^3-6x^2+9x+3x^2-18x+27=0\\x^3-6x^2+3x^2+9x-18x+27=0\\x^3-3x^2-9x+27=0[/tex]

So, cubic polynomial function with zeros 3,3 and -3 is [tex]\mathbf{x^3-3x^2-9x+27=0}[/tex]

Which is an equation of the line through the origin and (-4,-9)?

Answers

ExplanationCalculate the slope by using the rise over run with two given coordinate points.

Note: Origin point = (0,0).

[tex] \begin{cases}(x_1, y_1) = ( - 4, - 9) \\ (x_2, y_2) = ( 0, 0) \end{cases}[/tex]

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\ m = \frac{0 - ( - 9)}{0 - ( - 4)} \\ m = \frac{0 + 9}{0 + 4} \Longrightarrow \frac{9}{4} [/tex]

Slope-Intercept

[tex]y = mx + b \\ \begin{cases} \sf{m = slope} \\ \sf{b = y - intercept} \end{cases}[/tex]

Rewrite the equation by substituting m = 9/4 in the equation.

[tex]y = \frac{9}{4} x + b[/tex]

Find the value of b.

Because the graph passes through the origin point. That means the y-intercept is (0,0).

Therefore we rewrite the equation again to

[tex]y = \frac{9}{4} x + 0 \\ y = \frac{9}{4} x[/tex]

Answer

[tex] \large \boxed{y = \frac{9}{4} x}[/tex]

What is m<1 and m<3 someone help me please

Answers

Answer:

m < 1 = 52

m < 3 = 52

Step-by-step explanation:

m < 8 = 128 therefore m < 4 = 128

1.) we know that m < 4 + m < 1 must equal 180

128 + m < 1 = 180

180 - 128 = m < 1

52 = m < 1

due to the position of m < 1 and m < 3, they are the exact same

What is the meaning of having 150% of a pizza? Draw a diagram to represent this.

Answers

Step-by-step explanation:

it means having more than 1 and half piece of pizza

simplify the expression -3÷(-2/5)​

Answers

Answer:

7 1/2

Step-by-step explanation:

Because you have to keep, change, flip and it is positive because they both are negative

Can you mark me brainliest

The Chandlers are moving across the country. Mr. Chandler leaves 4 hours before Mrs. Chandler. If he averages 70mph and she averages 80mph, how many hours will it take Mrs. Chandler to catch up to Mr. Chandler?

Answers

Answer:

It will take 28 hours for Mrs. Chandler to catch up with Mr. Chandler.

Step-by-step explanation:

Given that:

Speed of Mr. Chandler = 70 mph

Distance covered in 4 hours = 70 * 4 = 280 miles

Let,

h be the number of hours.

y be the total distance covered.

y = 70h + 280

Speed of Mrs. Chandler = 80 mph

y = 80h

For catching up, the distance would be same.

80h = 70h + 280

80h - 70h = 280

10h = 280

Dividing both sides by 10

[tex]\frac{10h}{10}=\frac{280}{10}\\h=28[/tex]

Hence,

It will take 28 hours for Mrs. Chandler to catch up with Mr. Chandler.

please help asap!! giving brainliest

Answers

Answer:

f g e is the answer

Step-by-step explanation:

Answer:

All you have to do is subtract by the corresponding attributes and answer each accumulation

Step-by-step explanation:

Jake’s rental car service uses the equation y = 0.45x + 39.50 to calculate the total cost, y, where x is the number of miles driven. Angie’s rental car service uses this table to calculate the cost of a car rental.

Answers

Answer:

Step-by-step explanation:

In a recent survey in a Statistics class, it was determined that only 60% of the students attend class on Fridays. From past data it was noted that 98% of those who went to class on Fridays pass the course, while only 20% of those who did not go to class on Fridays passed the course.
a. What percentage of students is expected to pass the course?
b. Given that a person passes the course, what is the probability that he/she attended classes on Fridays?

Answers

Answer:

a. 66.8%

b. 0.855

Step-by-step explanation:

In a recent survey in a Statistics class,

Percentage of students that attended class on Friday = 60%

Percentage of students that did not attend class on Friday = 100 - 60% = 40%

Percentage of those who went to class on Fridays and passed the course = 98%

Percentage of those who did not go to class on Fridays and passed the course = 20%

a. What percentage of students is expected to pass the course?

This is calculated as:

= 60% × 98% + 40% × 20%

= 0.668

Converting to percentage

= 0.668 × 100

= 66.8%

b. Given that a person passes the course, what is the probability that he/she attended classes on Fridays?

We solve using Baye's Theorem

= [60 × 98%]/[60% × 98% + 40% × 20%]

= 0.588 /0.688

= 0.8546511628

Approximately = 0.855

Part(a): The required pass percentage is 66.8%

Part(b) The required probability is [tex]P(Friday/Pass)=0.8802[/tex]

Given that,

P(Friday) = 0.60, P(No Friday) = 0.40

[tex]P(Pass/Friday)=0.98\\P(Pass/No Friday)=0.98\\[/tex]

Part(a): The percentage of students expected to pass the course is 0.668.

[tex]P(Pass)=P(Friday)\times P(Pass/Friday)+P(No friday)\times P(Pass/No Friday)\\=0.60\times 0.98+0.40\times 0.20\\=0.588+0.08\\P(Pass)=0.668[/tex]

Part(b):

The probability that he/she attended classes on Fridays is 0.8802

[tex]P(Friday/Pass)=\frac{P(friday)\times P(Pass/Friday)}{P(Friday\times P(pass/Friday+P(No friday)\times P(pass/No friday)}\\=\frac{0.60\times 0.98}{0.60\times 0.98+0.40\times 0.20} \\=0.8802[/tex]

Learn More:https://brainly.com/question/23485751

please help me asap!!!!

Answers

Answer:

[tex]\displaystyle 31[/tex]

Step-by-step explanation:

Angles Y and X form a linear pair, therefore you use the Linear Pair Theorem to solve for x:

[tex]\displaystyle 180° = [2s - 4]° + [s + 91]° → 180° = [87 + 3s]° → 93 = 3s; 31 = s[/tex]

I am joyous to assist you at any time.

(x - 3)2 + (y + 7)2 = 121 what's the center of the circle

Answers

Answer:

centre = (3, - 7 )

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

(x - 3)² + (y + 7)² = 121 ← is in standard form

with centre = (h, k ) = (3, - 7 )

Helpppppppppppppppppppppp pleaseeeee

Answers

Answer:

48 cm by 27 cm

Step-by-step explanation:

(16/9)*3=48/27

Other Questions
An idea based on observations with no experimental evidence is a: Which of these drugs is a stimulant? How do the Upanishads challenge the caste system? if a ball falls off a cliff that is 20 meters tall and down to the bottom of a pond that is 13meters deep, what is the total distance traveled by the ball? *7 meters20 meters33 meters13 meters what is -23 = -11n + 10 + -3 + 9b = -48 i nEeEd HalPPP solve the Inequality 8p in a three digit number, the tens digit is the same as the hundreds digit. the ones digit of this number is equal to 1/3 of the sum of the other two digits. find the number if the sum of all its digits is equal to 24 What percent of I-125 has decayed if there are 37.5g of the original sample left? Give me your opinion on the new song driver license, and explain what the songs about? One should read every possible answer to a multiple choice question before selecting a final answer. Please select the best answer from the choices provided T F Read these words from Carl Vinson.Which statement best sums up the meaning ofVinson's words?The most expensive thing in the world is a cheapArmy and Navy.O It is important not to spend too much money on themilitary.O A nation with an inexpensive army and navy shoulddo well in war.A nation should not cut corners when it comes tomilitary spendingThe less a nation spends on the military, the more ithas for other things. Anna has a box of chocolates. In the box there are milk, plain and white chocolates in the ratio 4:3:2. Anna doesn't like white chocolates. Work out the probability that she will pick a chocolate that is not white? * URGENT Refer to the passage.Which of the following conditions best accounts for themigration pattern to the United States described in thepassage?"It was not until 1841 that the great flow of emigrantsbegan in the direction of New Zealand and Australia.The emigrants of 1832 chiefly went to Canada, and asyet the United States were practically unaffected bythe rush....The population of the great towns has for the mostpart doubled itself in the last fifty years. London hadthen a million and a half; Liverpool, 200,000;Manchester, 250,000; Glasgow, 250,000; Birmingham,150,000; Leeds, 140,000; and Bristol, 120,000.The United States was entrenched in a sectionalcrisis over slavery.O The United States was relatively unindustrializedand economically weak.The United States was committed to the immigrationban on the British after the War of 1812.The United States was largely concerned aboutBritish recolonization of the original 13 colonies.Penal settlements were still flourishing. Between 1825and 1840, when they were suppressed, 48,712convicts were sent out to Sydney. As regardstravelling, the fastest rate along the high roads was tenmiles an hour. There were 54 four-horse mail coachesin England, and 49 two-horse mails. In Ireland thereUnmark this questionSave and ExitNextSubmit To prevent burns to your skin, cuff your pant legs or tuck your pants intoyour boots whenyou weld.TrueFalse Which function best represents this graph? Susan usually . (go) to school by bus, but now she .. (go) to school by train. 2. Mary often .. (read) in bed, but today she is very tired and she . (not / read). 3. The boys usually (ride) their bikes to school. They . (like / ride) their bikes. They (be) very naughty boys. They always (go) to school late. Today their teacher . (be) very angry, because they (be) late again. 4. Mary .. (like / eat) sweets. Every morning she . (have) coffee with a lot of sweets and chocolate. For lunch she and her friends often .. (eat) sweets or ice-cream. She (not / like / eat) fruit or vegetables. She (eat / never) eggs or cheese. Today she .. (be) sick. She (sleep) in her room now. Please help me with this homework If y=x+ 5 and y = 11, then x = PLEASE HELP ME!! Graph the line, y+4=1/5(x-1) Find the slope of the line that passes through (10,9) and (1,1).