Question

Solve each system by substitution. Show all work.
-8x+2y= -4
-7x+y= -8

Answer 1

(2, 6 )

Explanation:

- 8x + 2y = - 4 → (1)

- 7x + y = - 8 ( add 7x to both sides )

y = 7x - 8 → (2)

substitute y = 7x - 8 into (1)

- 8x + 2(7x - 8) = - 4 ← distribute parenthesis and simplify left side

- 8x + 14x - 16 = - 4

6x - 16 = - 4 ( add 16 to both sides )

6x = 12 ( divide both sides by 6 )

x = 2

substitute x ;= 2 into (2)

y = 7(2) - 8 = 14 - 8 = 6

solution is (2, 6 )