Answer:
(1, 2 )
Step-by-step explanation:
Given the 2 equations
3x + y = 5 → (1)
5x - 4y = - 3 → (2)
Rearrange (1) expressing y in terms of x by subtracting 3x from both sides
y = 5 - 3x → (3)
Substitute y = 5 - 3x into (2)
5x - 4(5 - 3x) = - 3 ← distribute and simplify left side
5x - 20 + 12x = - 3
17x - 20 = - 3 ( add 20 to both sides )
17x = 17 ( divide both sides by 17 )
x = 1
Substitute x = 1 into (3) for corresponding value of y
y = 5 - 3(1) = 5 - 3 = 2
Solution is (1, 2 )
