Answer:
(- 4, - 7)
Step-by-step explanation:
given the 2 equations
2x - 3y = 13 → (1)
4x - y = - 9 → (2)
multiply all terms in (2) by - 3
- 12x + 3y = 27 → (3)
Add (1) and (3) term by term
(2x - 12x) + (- 3y + 3y) = (13 + 27)
- 10x = 40 ( divide both sides by - 10 )
x = - 4
Substitute x = - 4 in either (1) or (2) for corresponding value of y
(1) : - 8 - 3y = 13 ( add 8 to both sides )
- 3y = 21 ( divide both sides by - 3 )
y = - 7
Solution is (- 4, - 7 )
