Question

Point B is between points A and C. Find the length of AC if AB = 3x - 2, BC = 2x + 7 and AC = 4x + 10

Answer 1

AC = 30

Explanation:

Start with:

`4x+10=3x-2+2x+7`

Combine like terms.

`4x+10=5x+5`

Subtract
`4x` from both sides of the equation.

`10=x+5`

Subtract
`5` from both sides of the equation.

`x = 5`

Then, substitute
`5` for
`x` in
`AC=4x+10`

`AC=4(5)+10`

Multiply.

`AC=20+10`

Finally, add.

`AC=30`