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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.
Question
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 + BC
let’s plug the expressions from the question into our equation above.
19 = 3x + 1 + 2x – 7
Combine like terms
19 = 5x – 6
Add 6 to both sides.
25 = 5x
Divide both sides by 5
5 = x
Answer:
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