Question

Use the substitution method to solve the system of equations below.

y = 3x
-2x + 8y = -22

x = 1
y = -3

x = -1
y = 3

x = -1
y = -3

x = 1
y = 3

Answer 1

• x = -1
• y = -3

Explanation:

Since you have an expression for y, it is convenient to use it.

-2x + 8(3x) = -22 . . . . . substitute 3x for y in the second equation

22x = -22 . . . . . simplify

x = -1 . . . . . . . . . .divide by 22

Substituting this value into the expression for y:

y = 3(-1) = -3

The solution is (x, y) = (-1, -3).