Find AC if AC=9x+2, BC=5x+1, and AB=9

Mathematics

1 answer:

AveGali [126]4 years ago

6 0

AC = 20

Step-by-step explanation:

Given

$AC = 9x+2\\BC = 5x+1\\AB = 9$

B is between A and C so,

$AC = AB+BC\\9x+2 = 9 + 5x+1\\9x+2 = 5x+10\\9x +2-5x = 10 \\4x +2-2 = 10-2\\4x = 8$

Dividing both sides by 4

$\frac{4x}{4} = \frac{8}{4}\\x = 2$

Putting x=2 in AC

$AC = 9(2)+2\\= 18+2\\= 20$

Hence,

AC = 20

Keywords: Linear equations, variables

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