Question

Point B is between A and C. Solve for x, then find AB and AC. Show all work for full credit:
AB = 5x + 2
AC = 12x + 7
BC = 26

Answer 1

x = 3

AB = 17

AC = 43

Further explanation:

Given that B is between A and C

That translates to:

AC = AB + BC

We know that

$AB = 5x+2\\AC = 12x+7\\BC = 26$

Putting the values

$12x+7 = (5x+2) + 26\\12x+7 = 5x+2+26\\12x+7 = 5x+28\\12x-5x = 28 -7\\7x = 21\\\frac{7x}{7} = \frac{21}{7}\\x = 3$

To find AB

$5x+2\\=5(3)+2\\=15+2\\=17$

For AC

$12x+7\\=12(3)+7\\=36+7\\=43$

So,

x = 3

AB = 17

AC = 43

Keywords: Equation in one variable, linear equations

Learn more about linear equations at:

• brainly.com/question/5510873
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