2x + 3y = 15
x + y = 6
work out the values of x and y.

Answer:
x = 3, y = 3
Step-by-step explanation:
2x + 3y = 15 → (1)
x + y = 6 → (2)
Multiplying (2) by - 2 and adding the result to (1) will eliminate x
- 2x - 2y = - 12 → (3)
Add (1) and (3) term by term to eliminate x
y = 3
Substitute y = 3 into either of the 2 equations and solve for x
Substituting into (1)
2x + 3(3) = 15
2x + 9 = 15 ( subtract 9 from both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Then x = 3 and y = 3