Answer:
x = 6, y = 0
Step-by-step explanation:
Given the 2 equations
5x - 4y = - 10 → (1) × 4
- 4x + 5y = 8 → (2) × 5
Multiplying (1) by 4 and (2) by 5 and adding will eliminate the term in x
20x - 16y = - 40 → (3)
- 20x + 25y = 40 → (4)
Add (3) and (4) term by term
9y = 0 ⇒ y = 0
Substitute y = 0 in either of the 2 equations and evaluate for x
Substituting y = 0 in (1)
5x - 4(0) = - 10, that is
5x = - 10 ( divide both sides by 5 )
x = - 2
