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## If B is between A and C, and AB=3x+1 and BC=2x-7, and AC=19, then find the value of x.

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If B is between A and C, and AB=3x+1 and BC=2x-7, and AC=19, then find the value of x.

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Mathematics
3 years
2021-08-30T13:41:50+00:00
2021-08-30T13:41:50+00:00 2 Answers
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## Answers ( )

Since AB and BC are two parts of AC, AC = AB + BClet’s plug the expressions from the question into our equation above.19 = 3x + 1 + 2x – 7Combine like terms19 = 5x – 6Add 6 to both sides.25 = 5xDivide both sides by 55 = xAnswer:x = 5

Step-by-step explanation:Given that B is between A and C then

AB + BC = AC , substitute values

3x + 1 + 2x – 7 = 19 , that is

5x – 6 = 19 ( add 6 to both sides )

5x = 25 ( divide both sides by 5 )

x = 5