Solve each system using substitution.

1. 4x= 3y-2 ; 18= 3x+y​

Answers

Answer 1

Answer:

y = 6

Step-by-step explanation:

so since you have 2 variables, you need to find a substitution for one of them.

let's do that for y

let y = something in the second equation.

y = 18 - 3x

then plug this into the first equation

4x = 3(18 - 3x) - 2

4x = 54 - 9x -2

4x = 52 - 9x

13x = 52

x = 4

now you have x, plug it into any of the equations to find y.

4(4) = 3y - 2

16  = 3y - 2

18 = 3y

y = 6

Answer 2

Answer:

x = 4, y = 6

Step-by-step explanation:

Substituting y into 1:

4x= 3y-2 -----1

18= 3x+y -----2

Isolate the y in 2.

y = 18-3x -----3

Substitute 3 into 1.

4x= 3(18-3x)-2

Evaluate.

4x = 54-9x-2

Keep like terms together.

4x+9x = 54-2

Simplify.

13x = 52

Find x.

x = 52 ÷ 13

  = 4

Substitute x into 3.

y = 18-3(4)

Evaluate.

y = 18-12

Find y.

y = 6


Related Questions

The table below shows the cost of comic books.

Number of comic books, 3, 4, 7, 10, Total cost, in dollars, 3.75, 5, 8.75, 12.50.

Based on the information in the table, which is the best prediction of the cost of 12 comic books?



$12

$9.60

$15

$16.25

Answers

15 because in the table 10=12.50 so to find how much 1 is you have to move the decimal one place to the left (1.25). Then you have to do 1.25x12 which gives you 15. Hope this helps!

Ahmed is saving up his money to buy a iPad that costs $319.50. Right now he has $21.95, and can save $63.00 each week. How many weeks will it take for Ahmed to have enough money to buy the iPad?

Answers

He would need to save up about 5 weeks. equation is 63x+21.95=319.50

Answer:

5 weeks

Step-by-step explanation:

319.50-21.95=297.55

297.55/63.00=4.72

Since he can't wait for those many weeks, you would round it to 5 so he has enough money

Help please.
Which of the following answers has simplified the following expression by combining like terms correctly? 6b - 2a + 9 - b + 5a Group of answer choices
A 7a + 7b + 9
B 3a + 5b + 9
C 17ab
D none of these answers are correct

Answers

Answer:

B is the correct answer

Step-by-step explanation:

You have to do 6b- 1b 5b

-2a+5a= 3a

9

Solve the equation.
W+3/3 = - 4

Answers

Answer:

W=−5

r=3

hope this helps!!

-45 + s = -105, s = ?

Answers

Answer:

s = - 60

Step-by-step explanation:

-45 + s = -105

s = -105 + 45

s = - 60


Select the expression that represents the operations shown on the number line.
A 4n - n - 7n

B 8n - 2n - 14n

C 2n- în - 3žn
D 16 - 4n - 28n

Answers

Answer:

b

Step-by-step explanation:

god loves you!!!!!!!!!

Answers

Answer:

He loves you too!!

Step-by-step explanation:

Which symbol will make the number sentence true? 6/7 0.85

Answers

Answer:

6/7 > 0.85

hope this help

6/7 () 0.85

=6/7 () 85/100

=6/7 () 17/20

=120/140 () 119/140

∵120/140>119/140

∴6/7>0.85

What power of 10 makes number 3 equal 3,000

Answers

Answer:

3 power of 10 makes number 3 equal 3000

Step-by-step explanation:

10*10*10=1000

3*1000=3000

Answer:

3 x 10^3

Step-by-step explanation:

3 x 10^3

3 x 1000

3000

hope this helps, pls mark brainliest :D

In a girl's bank, there is a collection of nickels, dimes, and quarters which amounts to $9.50. There are four times as many quarters as nickels, and 3 more dimes than nickels. How many coins of each kind are there?​

Answers

Answer:

Step-by-step explanation:

Let the amount of nickels be x

Let the amount of dimes be y

Let the amount of quarters be z

If the total collection amounts to $9.50, then;

x+y+z = 9.50 ..... 1

If there are four times as many quarters as nickels, then;

z = 4x .... 2

Also if there are 3 more dimes than nickels then;

y = x+3 .... 3

Substitute 2 and 3 into 1;

x + x+3 + 4x = 9.50

6x = 9.50 -5

6x = 4.50

x = 4.50/6

x = $0.75

Since y = x  +3

y = 0.75 + 3

y = $3.75

Also, z = 4x

z = 0.75(5)

z = $3.0

Hence there are

4(x - 1) + 5x = 6x - 16
Please help me solve the equation

Answers

Answer:

x=−4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4(x−1)+5x=6x−16

(4)(x)+(4)(−1)+5x=6x+−16(Distribute)

4x+−4+5x=6x+−16

(4x+5x)+(−4)=6x−16(Combine Like Terms)

9x+−4=6x−16

9x−4=6x−16

Step 2: Subtract 6x from both sides.

9x−4−6x=6x−16−6x

3x−4=−16

Step 3: Add 4 to both sides.

3x−4+4=−16+4

3x=−12

Step 4: Divide both sides by 3.

3x/3=-12/3

x=-4

Answer:

4x-4+5x=6x-16, 9x-4=6x-16, 3x=-12, x=-4

Step-by-step explanation:

rewrite using a single positive exponent 5^6/5^4

Answers

Answer:

Step-by-step explanation:

We can divide exponents by subtract 4 from 6. So, now we have 5^2 or 25.

The other way to solve to check our answer is to do the math.

5^6 = 15625

5^4 = 625

15625/625 = 25

So, we know we have the correct answer.

The Council of American Beet Farmers estimate that 60% of Americans love beets.

Based on this estimation, determine the probability for each of the following scenarios. Round your answers to three decimal places.

In a survey of 22 Americans, exactly 15 of them will respond that they love beets.

Answers

Answer: 13% or  0.1314

Step-by-step explanation: Binomial PDF on the calculator or by hand its

22 nCr 15 (0.60)^15(1-0.6)^7 = 0.131378

The probability in a survey of 22 Americans where exactly 15 of them will respond that they love beets given that 60% of American love beets is 0.131.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The binomial probability distribution:

[tex]^nC_r p^r (1 - p)^{n - r}[/tex]

Now,

p = 60% = 60/100 = 0.6

1 - p = 1 - 0.6 = 0.4

n = 22

r = 15

Now,

[tex]^nC_r p^r (1 - p)^{n - r}[/tex]

= [tex]^{22}C_{15}(0.6)^{15} (0.4)^{22 - 15}[/tex]

= [tex]^{22}C_{15}(0.6)^{15} (0.4)^7[/tex]

= 0.1313

Thus,

The probability is 0.131.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ2

The square below represents one whole.
Express the shaded area as a fraction, a decimal, and a percent of the whole.

Fraction:
Decimal:
Percent:

Answers

Answer:

Below.

Step-by-step explanation:

10 rectangles, 2 are shaded in.

Fraction: 1/5

Decimal: 0.2

Percent: 20%

Solve the following equation for the value for x.
7(0.3x - 0.9) = 6x-0.6 (18 +4x)

Answers

The answer to the question is: x=3

Deborah spent $70 on food and clothes she spent $26 more on clothes then on food Brighton solve a system of equations to find how much Debra spent on each

Answers

Answer:

Step-by-step explanation:

You know the total will be $70.

She bought food, let's call that "F"

She spent $26 more on clothes than food. So her clothes purchase is "F+26".

So let's set-up the equation this way:

food + clothing = Total Spent

F + F + 26 = 70

2F + 26 = 70 (subtract 26 from both sides of the = sign)

2F = 44 (Divide both sides so you find out how much was spent on "F" or food.)

F = 22 (But the question doesn't stop there.)

Deborah spent $22 on food. (Remember, she spent $26 more on clothes, so we have to use our "clothes" equation? ) Deborah spent $48 on clothes. She spent a total of $70 on her purchases.

Suppose the national average dollar amount for an automobile insurance claim is $758.83. You work for an agency in Michigan and you are interested in whether or not the state average is less than the national average. The hypotheses for this scenario are as follows. Null Hypothesis: μ ≥ 758.83, Alternative Hypothesis: μ < 758.83. You take a random sample of claims and calculate a p-value of 0.0349 based on the data, what is the appropriate conclusion? Conclude at the 5% level of significance.
A. The true average claim amount is significantly higher than $758.83.
B. The true average claim amount is higher than or equal to $758.83.
C. We did not find enough evidence to say the true average claim amount is less than $758.83.
D. The true average claim amount is significantly different from $758.83.
E. The true average claim amount is significantly less than $758.83.

Answers

Answer:

The  correct option is  E  

Step-by-step explanation:

From the question we are told that

    The  population mean is  [tex]\mu = \$ 758.83[/tex]

     The  null hypothesis  is [tex]H_o : \mu \ge 758.83[/tex]

      The alternative hypothesis is  [tex]H_a : \mu < 758.83[/tex]

      The  p-value is  [tex]p-value = 0.0349[/tex]

      The  level of significance is  [tex]\alpha = 0.05[/tex]

Generally from the value given we see that  the p-value  < [tex]\alpha[/tex] hence  

  The decision rule is  

Reject the null hypothesis  

 The  conclusion is  

    The true average claim amount is significantly less than $758.83.

Which number can be written on the line to make the inequality true?

3.91 less-than blank less-than 4.23 less-than 4.44

A number line going from 3.9 to 4.5 in increments of 0.1.


3.7... 3.9....4.1.... or 4.3 PLEASE HURRY JUST AWNSER

Answers

Answer:

3.91 < 4.1 < 4.23 < 4.44

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

PLEASEE HELPPPppppppp

Answers

Answer:

The answer is C

Step-by-step explanation:

Answer:

Answer it yourself buddy (:

Step-by-step explanation:

Mark can type 20 words per minute. Carol can type 22 words per minute. Mark starts typing at 1:00 pm and Carol starts typing 6 minutes later. At 1:15 pm, both Mark and Carol stop typing. Together, how many words did Mark and Carol type between 1:00 and 1:15 pm?

Answers

Answer:

C. 498

Step-by-step explanation:

Total number of words typed by both Mark and Carol is 498.

Rate of typing by Mark = 20 word per minute

Rate of typing by Carol = 22 words per minute

Since, Mark starts typing at 1:00 pm  and stop at 1:15 pm.

So, time taken by Mark is 15 minute.

number of words typed by  Mark = [tex]20*15=300[/tex]

Since, Carol starts typing 6 min late , i.e.  at 1:06 pm  and stop at 1:15 pm.

So, time taken by Carol is 9 minute.

number of words typed by  Carol =[tex]22*9=198[/tex]

Total number of words typed by both Mark and Carol = [tex]300+198=498[/tex] words.

Learn more:

https://brainly.com/question/23145277

a cube has edge length 3 in. What is its volume

Answers

Answer:

27 in3

Step-by-step explanation:

Answer:

56inches

Step-by-step explanation:

formula: Area x 6.

a cube has 6 sides. For 1 side, since the length is 3, we multiply by 3 to get the area to get 9. Thats only 1 side, so we multiply 9 by the 6 sides to get 56.

Do any of you guys know the answers to these! Need help

Answers

Answer:

(16) 0    (17) 36

Step-by-step explanation:

8-3 = 5

5x5 = 25

25 / 25 = 1

1 - 1 = 0

and 81 / 9 x 4 = 9 x 4 = 36

Answer:

0 and 36

Step-by-step explanation:

16

25 ÷ (8 - 3)² - 1 ← evaluate parenthesis

= 25 ÷ 5² - 1 ← evaluate exponent

= 25 ÷ 25 - 1 ← evaluate division

= 1 - 1

= 0

17

[tex]\frac{4}{9}[/tex] × 81 = 4 × 9 = 36

Evaluate: 12 divided by y+9d if y = 5 and d = 7

Answers

y + 9d = (5) + 9(7) = 68
12/68 = 6/34 = 3/17
The solution is 3/17

Answer:

0.25

12/5+(7x5)

Step-by-step explanation:

12/5+(7x5)

12/5+35

12/40

Can someone help me please

Answers

Answer:

31.42 m

Step-by-step explanation:

circumference = (pi)d

circumference = 3.14159 * 10 m

circumference = 31.4159 m

Answer: 31.42 m

Answer: circumference =31.42m

Step-by-step explanation:

Given
f
(
x
)
=

x

3
f(x)=−x−3, solve for
x
x when
f
(
x
)
=

2
f(x)=−2.

Answers

Answer:

-5

Step-by-step explanation:

Substitute every part of the equation where x appears with the value of x, which is -2

f(-2)=-2-3

f(-2)=-5

So, f(x)=-5

The answer is -5 I hope this helps

Write an equation of the line below ​

Answers

Answer:

ok.

Step-by-step explanation:

y=-1/1x+4. hope this helped :))

Answer: y= -8/8x + 4

or y=-x+4

Step-by-step explanation:

Exercice1
1. Montrer que 5 et-3 sont des diviseurs de -15.
2. Montrer que pour tout entier naturel n, l'entier naturel n + 1 est un diviseur de l'entier n? - 1.
Exercice2
Pour tout entier relatif p, N = 2p? +4p-16 est-il un entier pair?
Exercice3
Sur le site touristique de Carnac, trois parcours en train sont proposés : circuit
court de 12 min en train vert, circuit standard de 21 min en train bleu, circuit long de
42 minutes en train rouge. Le départ se fait simultanément à 14 h. Une famille nom-
breuse ne réussit pas à trouver de la place ensemble et décide d'attendre la prochaine
occasion de prendre un train au choix.
Aquelle heure faut-il revenir au plus tôt pour avoir à nouveau le choix des trois trains ?
Svp aidez moi !

Answers

Step-by-step explanation:

step by step step by step step by step by step by step step by step 352 Part 8 International natural + 11 exercise to fork out

Rebecca wants to buy a bracelet that is $69.99 but today she can buy it for 20% off the price. What is the amount she will save?

Answers

Answer:

$13.99

Step-by-step explanation:

20% of $69.99 is $13.998

We get this by taking 69.99 X .2 = 13.998

Technically she would save $14 if we rounded up. But most stores will round down in order to save more money.

WILL MARK BRAINLEST


Examine the algebra tiles.


Which equation is being modeled?


4x + 3 = 4x + 5

–3x + (–3) = 4x + 5

4x + (–3) = 5x + 4

–3x + 4 = 5x + 4

Answers

Answer:

3rd one

Step-by-step explanation:

Answer:

4x + (–3) = 5x + 4

Step-by-step explanation:

right on edge

Simplify.
16wxy
72xy

Answers

Answer: 1152wx^2y^2

Step-by-step explanation:

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