Answer:
(- 2, - 3 )
Step-by-step explanation:
Given the 2 equations
- 5x + y = 7 → (1)
- 3x - 2y = 12 → (2)
Multiplying (1) by 2 and adding to (2) will eliminate the y- term
- 10x + 2y = 14 → (3)
Add (2) and (3) term by term
(- 3x - 10x) + (- 2y + 2y) = (12 + 14), that is
- 13x = 26 ( divide both sides by - 13 )
x = - 2
Substitute x = - 2 into either of the 2 equations
Substituting in (1)
- 5(- 2) + y = 7
10 + y = 7 ( subtract 10 from both sides )
y = - 3
Solution is ( - 2, - 3 )
