Answer:
(2, - 3)
Explanation:
given the 2 equations
2x - 3y = 13 → (1)
x + 2y = - 4 → (2)
Multiplying (2) by - 2 and adding to (1) eliminates the term in x
- 2x - 4y = 8 → (3)
Add (1) and (2) term by term
(2x - 2x) + (- 3y - 4y) = (13 + 8)
- 7y = 21 ( divide both sides by - 7 )
y = - 3
Substitute y = - 3 into (1) or (2) for corresponding value of x
(2) → x - 6 = - 4 ( add 6 to both sides )
x = 2
Solution is (2, - 3)