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

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Answer:

AC = 30

Step-by-step explanation:

Start with:

[tex]4x+10=3x-2+2x+7[/tex]

Combine like terms.

[tex]4x+10=5x+5[/tex]

Subtract [tex]4x[/tex] from both sides of the equation.

[tex]10=x+5[/tex]

Subtract [tex]5[/tex] from both sides of the equation.

[tex]x = 5[/tex]

Then, substitute [tex]5[/tex] for [tex]x[/tex] in [tex]AC=4x+10[/tex]

[tex]AC=4(5)+10[/tex]

Multiply.

[tex]AC=20+10[/tex]

Finally, add.

[tex]AC=30[/tex]

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