Answer:
x = 6, y = - 7
Step-by-step explanation:
Given the 2 equations
10x - 3y - 81 = 0 → (1)
- 5x - 7y - 19 = 0 → (2)
Multiplying (2) by 2 and adding to (1) will eliminate the x- term
- 10x - 14y - 38 = 0 → (3)
Add (1) and (3) term by term
- 17y - 119 = 0 ( add 119 to both sides )
- 17y = 119 ( divide both sides by - 17 )
y = - 7
Substitute y = - 7 into either of the 2 equations
Substituting y = - 7 into (1)
10x - 3(- 7) - 81 = 0
10x + 21 - 81 = 0, that is
10x - 60 = 0 ( add 60 to both sides )
10x = 60 ( divide both sides by 10 )
x = 6
