Question

Solve the following linear equations.

1. y + y+1 + y+2 = 90

2. 5(m+4)=-20

3. 3x-8=2x+2

Answer 1

1. y=29

2. m= -8

3. x=10

Explanation:

1. Add the numbers

y+y+1+y+2=90

y+y+3+y=90

combine like terms

3y+3=90

Subtract 3 from both sides

3y+3-3+90-3

3y=87

Divide both sides by the same factor

3y/3 = 87/3

y=29

2. Distribute

5(m+4)=-20

5m+20=-20

Subtract 20 from both sides

5m+20=-20

5m+20-20+-20-20

Simplify

5m=-40

Divide both sides by the same factor

5m/5 = -40/5

m= -8

3. Add 8 to both sides

3x-8=2x+2

3x-8+8+2x+2+8

Simplify

3x=2x+10

Subtract 2x from both sides

3x=2x+10

3x-2x+2x+10-2x

x=10