Substitution Method

L1: y= -2x+2
L2: 3x+2y=5

1 answer

Put y = - 2 x + 2 in L2

3 x + 2 y = 5

3 x + 2 ∙ ( - 2 x + 2 ) = 5

3 x - 4 x + 4 = 5

- x + 4 = 5

Subtract 4 to both sides

- x = 1

Multiply both sides by - 1

x = - 1

Put this value in equation:

3 x + 2 y = 5

3 ∙ ( - 1 ) + 2 y = 5

- 3 + 2 y = 5

Add 3 to both sides

2 y = 8

y = 8 / 2 = 4