Question

If P is the midpoint of line XY, XP=8x-2, and PY= 12x-30, find the value of x

Answer 1

x=7

Explanation:

P is the midpoint of line XY

Midpoint divides the line equally into two equal lines

So XP= PY

XP=8x-2, and PY= 12x-30

`8x-2= 12x-30`

Solve the equation for x

`8x-2= 12x-30`

Subtract 8x form both sides

`-2= 4x-30`

Now we add 30 on both sides

`28= 4x`

Divide both sides by 4

x=7

The value of x=7

Answer 2

In this question, it is given that

P is the midpoint of line XY, XP=8x-2, and PY= 12x-30.

And if P is the midpoint of XY, then it divided XY in two equal part, that is XP and

PY.

So we have

`XP = PY  \\ 8x-2 = 12x-30  \\ -2 + 30 = 12x-8x \\ 4x = 28 \\ x=7`