Answer:
x = - 3 , y = - 4
Step-by-step explanation:
Given
- [tex]\frac{5}{7}[/tex] - [tex]\frac{11}{7}[/tex] x = - y ( multiply through by 7 to clear the fractions )
- 5 - 11x = - 7y ( rearrange )
- 11x + 7y = 5 → (1)
2y = 7 + 5x ( rearrange )
- 5x + 2y = 7 → (2)
Multiplying (1) by - 2 and (2) by 7 and adding will eliminate y
22x - 14y = - 10 → (3)
- 35x + 14y = 49 → (4)
Add (3) and (4) term by term to eliminate y
- 13x = 39 ( divide both sides by - 13 )
x = - 3
Substitute x = - 3 into (2) and solve for y
- 5(- 3) + 2y = 7
15 + 2y = 7 ( subtract 15 from both sides )
2y = - 8 ( divide both sides by 2 )
y = - 4
