3x - y = 2 x + 2y = 3

3x - y = 2; x + 2y = 3

Solve 3x - y = 2 for y:

Add - 3x to both sides

3x - y + - 3x = 2 + - 3x

-y = - 3x + 2

Divide both sides by - 1

-y - 1 = - 3x + 2 - 1

y = 3x - 2

Substitute 3x - 2 for y in x + 2y = 3:

x + 2y = 3

x + 2 (3x - 2) = 3

Simplify both sides of the equation

7x - 4 = 3

Add 4 to both sides

7x - 4 + 4 = 3 + 4

7x = 7

Divide both sides by 7

7x / 7 = 7/7

x = 1

Substitute 1 for x in y = 3x - 2:

y = 3x - 2

y = (3) (1) - 2

Simplify both sides of the equation

y = 1

Answer:

x = 1 and y = 1