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3 years ago

If point B is between points A and C, AB=2x, BC=7 and AC=6x-5.

Mathematics

1 answer:

alukav5142 [94]3 years ago

7 0

Answer:

Step-by-step explanation:

<em>Look at the picture.</em>

<em />

B is between A and C. Therefore

$AB + BC = AC$

We have the equation:

$2x+7=6x-5$ <em>subtract 7 from both sdies</em>

$2x+7-7=6x-5-7$

$2x=6x-12$ <em>subtract 6x from both sides</em>

$2x-6x=6x-6x-12$

$-4x=-12$ <em>divide both sides by (-4)</em>

$\dfrac{-4x}{-4}=\dfrac{-12}{-4}$

$x=3$

Calculate the length of AB:

$AB=2x\to AB=2(3)=6$

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