Question

Solve the systems of equations.
8x - 3y = -22
y = 10 + 4x

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Answer 1

To solve this system of equations, we can substitute the value of y from the second equation into the first equation:

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

Now that we have found the value of x, we can substitute it back into the second equation to find the value of y:

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

Therefore, the solution to the system of equations is (-2, 2).