Solve the system of equations.

2x - 5y = 3

x - 3y = 1

(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)

Answer: what are you trying to find