Answer:
(- 10, - 27 )
Explanation:
given the system of equations
2x - y = 7 → (1)
5x - 2y = 4 → (2)
multiplying (1) by - 2 and adding the result to (2) will eliminate y
- 4x + 2y = - 14 → (3)
add (2) and (3) term by term to eliminate y
(5x - 4x) + (- 2y + 2y) = 4 - 14 , that is
x + 0 = - 10
x = - 10
substitute x = - 10 into either of the 2 original equations and solve for y
substituting into (1)
2(- 10) - y = 7
- 20 - y = 7 ( add 20 to both sides )
- y = 27 ( multiply both sides by - 1 )
y = - 27
solution is (- 10, - 27 )