Use substitution to solve each system of equations. y = 4x + 22 4x – 6y = –32
(–5, 2)

(2, –5)

(–8, 1)

(4, 7)

(-5, 2)

Step-by-step explanation:

We have the equations:

and

Using the substitution method, with y = 4x + 22 and replace it in the equation 4x - 6y = -32

4x - 6(4x + 22) = -32

4x -24x -132 = -32

-20x = -32 + 132

x = 100/-20= -5

Substituting the value of x in the first equations of the systems to clear x.

y = 4x + 22

y = 4(-5) + 22

y= -20 + 22 = 2