Systems of linear equations unit test use the image to answer the question y = -2x + 8 y = 4x - 10

Answer 1

The given system of linear equations is:

y = -2x + 8
y = 4x - 10

To solve this system of equations, we can set the two equations equal to each other:

-2x + 8 = 4x - 10

Now, we can solve for x:

-2x - 4x = -10 - 8
-6x = -18
x = 3

Now that we have found the value of x, we can substitute it back into one of the original equations to find the value of y. Let's substitute x = 3 into the first equation:

y = -2(3) + 8
y = -6 + 8
y = 2

Therefore, the solution to the system of linear equations y = -2x + 8 and y = 4x - 10 is x = 3 and y = 2.