Answer:
(- 1, - 3 )
Explanation:
y - 4x = 1 ( rearranging )
- 4x + y = 1 → (1)
6x - 5y = 9 → (2)
multiplying (1) by 5 and adding to (2) will eliminate y
- 20x + 5y = 5 → (3)
add (2) and (3) term by term to eliminate y
(6x - 20x) + (- 5y + 5y) = 9 + 5
- 14x + 0 = 14
- 14x = 14 ( divide both sides by - 14 )
x = - 1
substitute x = - 1 into either of the 2 equations and solve for y
substituting into (1)
- 4(- 1) + y = 1
4 + y = 1 ( subtract 4 from both sides )
y = - 3
solution is (- 1, - 3 )