What is the solution for the system of equations? Use the substitution method to solve. 2x+y=20−5y=−6x+12 Enter your answer by filling in the boxes. ( , )

(7, 6 )

Step-by-step explanation:

2x + y = 20 ( subtract 2x from both sides )

y = 20 - 2x → (1)

- 5y = - 6x + 12 → (2)

Substitute y = 20 - 2x into (2)

- 5(20 - 2x) = - 6x + 12 ← distribute parenthesis on left side

- 100 + 10x = - 6x + 12 ( add 6x to both sides )

- 100 + 16x = 12 ( add 100 to both sides )

16x = 112 ( divide both sides by 16 )

x = 7

Substitute x = 7 into (1)

y = 20 - 2(7) = 20 - 14 = 6

solution is (7, 6 )