Respuesta :

Sneezelet
X= 8
Y= -7

If you use elimination:

–3y–4x=–11
3y–5x=–61

Add the two equations and get

–9x=–72

Divide by –9 on both sides

X=8

Substitute 8 in for x

–3y–4(8)=–11

Simplify

–3y–32=–11

Add 32 on both sides

–3y=21

Divide by –3 on both sides

Y=–7
facundo3141592

We want to solve the given system of equations.

We will find that the solution is: (8, -7)

We start with the system:

-3y - 4x = -11

3y - 5x = -61

Let's isolate the "3y" part in both equations to get:

-3y = -11 + 4x

3y = -61 + 5x

Now we multiply the top equation by -1 to get:

3y = 11 - 4x

3y = -61 + 5x

Notice that the left side on both equations is the same thing, then we ca write:

11  - 4x = 3y = -61 + 5x

Now we can solve this for x:

11 -  4x = -61 + 5x

11 + 61 = 5x + 4x

72 = 9x

72/9 = x = 8

Now we know the value of x, to get the value of y we just input the value of x in one of the equations and solve it for y:

−3y − 4x=−11

−3y − 4*8=−11

-3y - 32 = -11

-3y = -11 + 32 = 21

y = 21/-3 = -7

y = -7

Then the solution of the system is (8, -7)

If you want to learn more, you can read:

https://brainly.com/question/12895249

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