X + 2y = 3

5x + 3y = 8

X + 2y = 3 Solve the Equation

- 2y - 2y

x = 3 - 2y

5x + 3y = 8

5 (3 - 2y) + 3y = 8 Substitute x

15 - 10y + 3y = 8 Combine Like Terms

15 - 7y = 8

-15 - 15

-7y = - 7

Divide 7 from y (Do on both sides)

y = 1

x = 3 - 2 (1) Substitute y

x = 3 - 2

x = 1

(X, Y) = (1, 1)