Answer:
(7, 6 )
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 )