-5x + y = -3 and –x - 5y = - 11 by substitution​

Answers

Answer 1

Answer:

x = 1, y = 2

Step-by-step explanation:

-5x + y = -3, we get y = 5x - 3.

Then plugs into the second equation, we get

-x - 5 (5x-3) = -11.

-x - 25x + 15 = -11,

-26x = -26

x = 1,

plugs x = 1 to y = 5x - 3, we get y = 2.

Answer 2

Answer:

Required Answer:-

-5x+y=-3---------------(1)-x-5y=-11----------------(2)

From eq (1)

[tex]{:}\longrightarrow[/tex][tex]\sf -5x+y=-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=-3+5x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=5x-3\dots\dots (3) [/tex]

Substitute the value in eq (2)

[tex]{:}\longrightarrow[/tex][tex]\sf -x-5 (5x-3)=-11 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -x-25x+15=-11 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -26x=-11-15 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -26x=-26 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {-26}{-26}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=1[/tex]

Substitute the value in eq (3)

[tex]{:}\longrightarrow[/tex][tex]\sf y=5x-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y =5 (1)-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=5-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf y=2 [/tex]

[tex]\therefore[/tex](x,y)=(1,2)


Related Questions

Lin runs 5 laps around a track in 6 minutes. How many minutes per lap is that? ___minutes How many laps per minute is that? ___ laps If Lin runs 21 laps at the same rate, how long does it take her? ___minutes

Answers

Answer:

a. 1.2 minutes

b. 0.83 laps

c. 25.2 minutes

Step-by-step explanation:

Lin runs 5 laps around a track in 6 minutes.

a. How many minutes per lap is that?

5 laps = 6 minutes

1 laps = x minutes

Cross Multiply

x minute × 5 laps = 6 minutes × 1 laps

x minute = 6 minutes × 1 laps/5 laps

x laps = 1.2 minutes

Hence, it is 1.2 minutes per lap

b. How many laps per minute is that?

6 minutes = 5 laps

1 minute = x laps

Cross Multiply

6 minutes × x laps = 1 minute × 5 laps

x laps = 1 minute × 5 laps/6 minutes

x laps = 0.8333333333 laps

Hence, it is 0.83 laps per minute.

c. If Lin runs 21 laps at the same rate,

5 laps = 6 minutes

21 laps = x minutes

Cross Multiply

x minute × 5 laps = 6 minutes × 21 laps

x minute = 6 minutes × 21 laps/5 laps

x laps = 25.2 minutes

Hence, it takes her 25.2 minutes

−4y−4+(−3)
is anyone on that can help with this question I'm an idiot and can figure it out please help

Answers

Answer:

soln

-4y-4-3

-4y-7

- (4y+7)

The Lugar family spends spring break camping. The campground charges a $5 entrance fee plus $10 per night to camp in the park. Which of the following graphs best represents the relationship between the number of nights the Lugar family camps and the cost?

Answers

Answer:

(0,5) , (1,15) , (2,25) , (3,35) , (4,45) {the cords for the answer because it might be different for you. Also this is not a straight line they are dots.

Step-by-step explanation:

For one night, you have to pay $5 for an entry fee, and $10 for a night. Which means its $15 for one night. This increases every night.


4 ) Here is an explanation that the angle sum of triangle ABC is 180º.
The reasons for each line are missing.
Give the reasons.
1. Angle A of the triangle = angle PCA
2. Angle B of the triangle = angle QCB
3. Angle PCA + angle C of the triangle + angle QCB = 180°
Hence angle A + angle B+ angle C = 180°​

Answers

Answer:

Thank you and please rate me as brainliest as it will help me to level up

101.101 correctly written out in words

Answers

Answer:

One hundred one and one hundred one thousandths

Step-by-step explanation:

Answer:

Step-by-step explanation:

basicliy he's saying c

wich is true:)

1
-3
р
II
03
True
O False

Answers

Answer:

i dont understand it

Step-by-step explanation:

Is y=2x-4 a linear equation?

Answers

Answer:

Yes

Step-by-step explanation:

When graphed, the equation will produce a straight line, making it linear.

What is the image of (2,3)(2,3) after a reflection over the line y=-xy=−x?

Answers

Answer:

The image of (2,3) after a reflection over the given line will be: (-3,-2)

Step-by-step explanation:

The given point is (2,3)

Let (x,y) be a point, when it will be reflected over the line y=-x the coordinates are exchanged and are negated i.e. point (x,y) becomes (-y,-x)

When a point is reflected over a line the distance between the image of point and the line remains the same as the distance between original point and line.

Given point will become: (-3,-2)

Hence,

The image of (2,3) after a reflection over the given line will be: (-3,-2)

Answer:

(−2,3)

Step-by-step explanation:

im just assuming that its was and accedent to add extra

I WILL MARK BRAINIEST
please answer question 4
It shows the one I got wrong so please don’t choose that one

Answers

Answer:

C is the correct one.

Step-by-step explanation:

You can find answer by RHS rule of congruency.

RHS stands for Right angle, Hypotenuse, and Side

Answered by,

Z.Khan,

India

I need help with the range

Answers

Answer:

(-2, 10]

Step-by-step explanation:

The range is the y values that the equation/line covers.

The line's lowest point is -2 and the line's highest point is 10. The value is not defined at -2 since there is an open circle. The value is defined at 10 since there is a closed circle.

I need help for algebra 1, solve for the variable
2x-y=y
(solving for x)

Answers

Answer:

x = y

Step-by-step explanation:

Given

2x - y = y ( add y to both sides )

2x = 2y ( divide both sides by 2 )

x = y

Answer: x=y

Explanation
add y to both sides=2x-y+y=y+y
2x=2y
Divide both sides by 2
2x/2=2y/2
Therefore x=y

Find the perimeter of a rectangular garden that measures 4 yards by
12 yard.

Answers

Answer:

it is 48 yards

Step-by-step explanation:

what You would do is this 12x4, which would equal 48

Answer:

32 yards

Step-by-step explanation:

First we need to know what perimeter is. It's similar but not the same as area. The perimeter is the length around the entire area, or in this case, a garden. We know 2 side lengths of the garden and because it is a rectangle we just have to add another width and length the same as these and add them all together.

4 + 4 + 12 + 12

8 + 24

32

So, the perimeter of the rectangular garden is 32 yards.

Hope this helps! If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. :) Stay safe and please mark brainliest!

How do I do 3 x 10^5

Answers

Answer: 3(10^5)

=3*10^5

=3*(10*10*10*10*10)

=300000

This is how you should do It, just when it is squared you should times the number like up here you times 10 times 10 5 times so if you see it you don't times it by 5 you do 10 times 10 times 10 times 10 times 10 like this

You should get it now

Have a good day

Yours,

Nathaniel

Step-by-step explanation:

3/5 + 1/2 in simplest form

Answers

Make them common denominator
3/5 = 6/10
1/2 = 5/10
6/10 + 5/10 = 11/10 = 1 1/10

Simplified it would be [tex]\frac{11}{10}[/tex].

3/4

(x−12)=12

will mark brainlyest

Answers

Answer:

x = 24, if thats wat ur asking.

Answer:

x = 28

Step-by-step explanation:

its division come on

There are 2,560 fl oz. in a fish tank, how many gallons is the fish tank? help me !!!!!​

Answers

Answer:

Your answer would be 12

Step-by-step explanation:

Hopefully this helped, if not HMU and I will try my best to get you a better answer! :)

Divide $63 among three men in the ratio 1/2 : 1/4 : 1/8. How much will each get?

Answers

Answer:

1st: $36

2nd: $18

3rd:$9

Step-by-step explanation:

The first man gets 4

The second gets 2

The third gets 1

4 + 2 + 1 = 7

63/7 = 9

Each part equals $9

9*4  = 36

9 * 2 = 18

9 * 1 = 9

Check:

36 + 18 + 9 =

63

100 freaking points get it right

Answers

Answer:

1

1

    2

im sure you know what this means

Step-by-step explanation:

Answer:

cool guy dont know

Step-by-step explanation:

What is the period of y = 4Cos(2x)?

Answers

This is your perfect answer

Y=4cos(2x)sin

The vertices of a triangle are A(-2, 1), B(2, 2) and C(6, - 2).
Find the equation of the altitude of AD drawn from A to BC.​

Answers

Answer:

The equation of altitude AD drawn from A to BC will be:

[tex]y=x+3[/tex]

Step-by-step explanation:

Let m₁ and m₂ be the slope of line AD and BC respectively.

Now, AD⊥BC

​∴ m₁ × m₂ = -1

be the slope of line AD and BC respectively.

⇒ m₁ = -1/m₂    → (A)

Finding the slope of BC using points

B(2, 2)

C(6, - 2)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(2,\:2\right),\:\left(x_2,\:y_2\right)=\left(6,\:-2\right)[/tex]

[tex]m_{2} =\frac{-2-2}{6-2}[/tex]

[tex]m_{2} =-1[/tex]

On substituting the value of m₂ in equation (A)

m₁ = -1/m₂

    = -1/(-1)

    = 1

We know that the point-slope form of the line equation is

[tex]y-y_1=m\left(x-x_1\right)[/tex]

∴ Equation of altitude AD passing through A(-2, 1) with slope 1 will be

[tex]y-1=1\cdot \left(x-\left(-2\right)\right)[/tex]

[tex]y-1=x+2[/tex]

[tex]y=x+3[/tex]

Therefore, the equation of altitude AD drawn from A to BC will be:

[tex]y=x+3[/tex]

What’s the value of p? Just type in the answer!!!

Answers

Answer:

The interior angles of any triangle equal 180.

This is an iscocleles triangle meaning p and i or the base angles are equal.

With those rules we see that 48°+p+I=180

p+I=132

132/2=66

therefore P and I equal 66

P=66°

Step-by-step explanation:

Which value shows the constant of proportionality for the equation y = 15x?
y
15
x
15x

Answers

Answer:

Step-by-step explanation:

15x because its not multiplying or dividing or adding and subtracting

Which model represents the product 6×34?

Answers

Answer:

204 is the answer

Step-by-step explanation:

204 is the answer

Paki heart nalang po kung nakatulong

Answer:

its the 3rd

Step-by-step explanation:

How do I work out 5 divided by 102.05???
Thanks to kasey1476443 for giving me the answer. She is a HERO!!!
I have one question how do I work out 5 divided by 102.05? You can add a picture when you comment.

Answers

Answer:

0.04899559039

Step-by-step explanation:

I put it in the caculator

Answer: The answer is 20.41

Step-by-step explanation:

Please help!

Show your work if you can!

Thank you!

Answers

Answer:

4

Step-by-step explanation:

your slope-intercept will be 4

Answer:

y = 4x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 4x - 3 ← is in slope- intercept form

with slope m = 4

Parallel lines have equal slopes

Thus parallel line has m = 4 and c = 5

y = 4x + 5 ← equation of parallel line

You multiply the dimensions of Triangle A by 4 to create Triangle B. Select the conclusion(s) that you can make about the similar triangles.


1.The ratio of the perimeters (Triangle A to Triangle B) is 14.

2.The ratio of the perimeters (Triangle B to Triangle A) is 1 to 4.

3.The ratio of the areas (Triangle A to Triangle B) is 1 to 8.

4.The ratio of the areas (Triangle B to Triangle A) is 16 : 1.

5.There is not enough information to make any of the conclusions above.

Answers

Answer:

5

Step-by-step explanation:

there is not enough info to because we do not have the detentions are the difference of triangle A or B

What is 15 % converted into numbers, or 120$ increased by 15%

Answers

$120 increased by 15% is 138.00

Multiply. Answer with a mixed number in simplest form

6 x 3 3/8

Answers

Answer: my answer is 20.25

Answer:

20 1/4

Step-by-step explanation:

6/1 × 27/8 = 162/8 = 162 ÷ 8 = 20 1/4

Find the product of 3 1/5 and 7 1/4. Express your answer in simplest form.

Answers

Answer:

Step-by-step explanation:

3 1/5 * 7 1/4= 23 1/5

) Multiply (x − 4)(x2 − 5x − 6). x3 − 9x2 + 14x + 24 x3 − x2 + 26x + 24 x3 − 5x2 + 10x + 24 x3 − 15x2 + 20x + 24 Question 10(Multiple Choice Worth 6 points) (01.03 MC) Solve for all possible values of x. square root of the quantity x minus 8 end quantity minus 3 equals 1 x = −4 x = 8 x = 12 x = 24

Answers

9514 1404 393

Answer:

  A.  x^3 − 9x^2 + 14^x + 24

Step-by-step explanation:

(x − 4)(x^2 − 5x − 6) = x(x^2 − 5x − 6) -4(x^2 − 5x − 6)

  = x^3 -5x^2 -6x -4x^2 +20x +24

  = x^3 +x^2(-5-4) +x(-6+20) +24

  = x^3 − 9x^2 + 14x + 24 . . . . matches the first choice

Answer:

The other person is right it is "x^3 − 9x^2 + 14x + 24"

Step-by-step explanation:

They showed their work so i felt like u could just look at theirs!!!

Xoxo

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