Question

Solve the system of equations. 4x−8y=−36 −6x+y=32 (1 point) (, )

Answer 1

wrong. do another one

Answer 2

To solve this system of equations, we can use the method of substitution or elimination.

Let's use the elimination method:

1. Multiply the second equation by 8 to make the y coefficients the same:

-6x + y = 32
8(-6x + y) = 8(32)
-48x + 8y = 256

2. Add this new equation to the first equation:
4x - 8y = -36
-48x + 8y = 256
-------------------
-44x = 220

3. Divide by -44 to solve for x:
x = -220 / -44
x = 5

4. Substitute x back into either equation to solve for y. Let's use the second equation:
-6(5) + y = 32
-30 + y = 32
y = 32 + 30
y = 62

Therefore, the solution to the system of equations is (5, 62).

Answer 3

Let's use the substitution method to solve this system of equations.

We have:
4x - 8y = -36 (1)
-6x + y = 32 (2)

From equation (2), we can express y in terms of x:
y = 6x + 32 (3)

Now, we substitute equation (3) into equation (1):
4x - 8(6x + 32) = -36
4x - 48x - 256 = -36
-44x - 256 = -36
-44x = 220
x = -220 / -44
x = 5

Now that we have found x, we substitute it back into equation (3) to find y:
y = 6(5) + 32
y = 30 + 32
y = 62

Therefore, the solution to the system of equations is (5, 62).