Answer:
x = 3 , y = 0
Explanation:
given the 2 equations
3x + 2y = 9 → (1)
2x + 6y = 6 → (2)
multiplying (1) by - 3 and adding the result to (2) will eliminate y
- 9x - 6y = - 27 → (3)
add (2) and (3) term by term to eliminate y
(2x - 9x) + (6y - 6y) = 6 - 27
- 7x + 0 = - 21
- 7x = - 21 ( divide both sides by - 7 )
x = 3
substitute x = 3 into either of the 2 original equations and solve for y
substituting into (1)
3(3) + 2y = 9
9 + 2y = 9 ( subtract 9 from both sides )
2y = 0 ⇒ y = 0
solution is x = 3 , y = 0