Answer:
(2, 3.5 )
Explanation:
2y = - x + 9 ( add x to both sides )
x + 2y = 9 → (1)
3x - 6y = - 15 → (2)
multiplying (1) by 3 and adding to (2) will eliminate y
3x + 6y = 27 → (3)
add (2) and (3) term by term to eliminate y
(3x + 3x) + (- 6y + 6y) = - 15 + 27
6x + 0 = 12
6x = 12 ( divide both sides by 6 )
x = 2
substitute x = 2 into either of the 2 equations and solve for y
substituting into (1)
2 + 2y = 9 ( subtract 2 from both sides )
2y = 7 ( divide both sides by 2 )
y = 3.5
solution is (2, 3.5 )