Answer:
x = 3, y = - 1
Explanation:
Given the 2 equations
6x + 4y = 14 → (1)
- 5x + 12y = - 27 → (2)
Multiplying (1) by - 3 and adding to (2) will eliminate the y- term
- 18x - 12y = - 42 → (3)
Add (2) and (3) term by term to eliminate y
- 23x + 0 = - 69
- 23x = - 69 ( divide both sides by - 23 )
x = 3
Substitute x = 3 into either of the 2 equations and solve for y
Substituting into (1)
6(3) + 4y = 14
18 + 4y = 14 ( subtract 18 from both sides )
4y = - 4 ( divide both sides by 4 )
y = - 1
solution is (3, - 1 )