Find the value of x if B is between A and C, AB=4x-9, BC= 3x+ 5, and AC=7

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06-08-2014
Mathematics

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Find the value of x if B is between A and C, AB=4x-9, BC= 3x+ 5, and AC=7

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Everest2017 Everest2017 · Answer 1 · 2014-08-06T12:57:36-04:00

Everest2017 Everest2017

06-08-2014

AB = 4 x - 9
BC = 3 x + 5
AC = 7

B is in between A and C. So AB + BC = AC

4x - 9 + 3 x + 5 = 7
7 x - 4 = 7 take -4 from LHS to the R H S (right hand side) it becomes +4
7 x = 7 + 4 = 11
x = 11/7 = 1.571

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