Answer:
(4, 1 )
Step-by-step explanation:
Given the 2 equations
2x - 5y = 3 → (1)
x - 3y = 1 → (2)
Rearrange (2) expressing x in terms of y by adding 3y to both sides )
x = 1 + 3y → (3)
Substitute x = 1 + 3y in (1)
2(1 + 3y) - 5y = 3 ← distribute left side
2 + 6y - 5y = 3, that is
2 + y = 3 ( subtract 2 from both sides )
y = 1
Substitute y = 1 into (3) for corresponding value of x
x = 1 + (3 × 1) = 1 + 3 = 4
Solution is (4, 1 )
