Question

solve the system of equations.
8x - 3y = - 22
y = 10 + 4x

Answer 1

To solve this system of equations, we can substitute the second equation (y = 10 + 4x) into the first equation (8x - 3y = -22) to get:

8x - 3(10 + 4x) = -22
8x - 30 - 12x = -22
-4x - 30 = -22
-4x = -22 + 30
-4x = 8
x = -2

Now that we have found the value of x, we can substitute it back into the second equation (y = 10 + 4x) to find the value of y:

y = 10 + 4(-2)
y = 10 - 8
y = 2

Therefore, the solution to the system of equations is x = -2 and y = 2.