Answer:
x = 1 , y = - 1
Step-by-step explanation:
given the system of equations
5x - 3y = 8 → (1)
2x - 7y = 9 → (2)
multiplying (1) by 2 and (2) by - 5 and adding the result will eliminate x
10x - 6y = 16 → (3)
- 10x + 35y = - 45 → (4)
add (3) and (4) term by term to eliminate x
(10x - 10x) + (- 6y + 35y) = 16 - 45
0 + 29y = - 29 ( divide both sides by 29 )
y = - 1
substitute y = - 1 into either of the 2 equations and solve for x
substituting into (1)
5x - 3(- 1) = 8
5x + 3 = 8 ( subtract 3 from both sides )
5x = 5 ( divide both sides by 5 )
x = 1
The solution is x = 1 , y = - 1
