Answer:
(3, - 4 )
Step-by-step explanation:
Given the 2 equations
5x + 2y = 7 → (1)
4x + y = 8 → (2)
Rearrange (2) expressing y in terms of x by subtracting 4x from both sides
y = 8 - 4x → (3)
Substitute y = 8 - 4x into (1)
5x + 2(8 - 4x) = 7 ← distribute and simplify left side
5x + 16 - 8x = 7
16 - 3x = 7 ( subtract 16 from both sides )
- 3x = - 9 ( divide both sides by - 3 )
x = 3
Substitute x = 3 into (3) for corresponding value of y
y = 8 - 4(3) = 8 - 12 = - 4
solution is (3, - 4 )
