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AB=5,BC=3x+7,AC=5x−2Find the value of x if A, B, and C are collinear points and B is between A and C.AB=5,BC=3x+7,AC=5x−2

Sagot :

Collinear points are points that all lie in the same line.

Given system is representied in the image above.

AB+BC=AC

Use the given data to write an equation in terms of x:

[tex]\begin{gathered} AB+BC=AC \\ \\ 5+3x+7=5x-2 \end{gathered}[/tex]

Use the equation above to solve x:

[tex]\begin{gathered} 12+3x=5x-2 \\ 12-12+3x=5x-2-12 \\ 3x=5x-14 \\ 3x-5x=5x-5x-14 \\ -2x=-14 \\ \frac{-2}{-2}x=\frac{-14}{-2} \\ x=7 \\ \end{gathered}[/tex]

Then, the value of x is 7

View image JavisH375821
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