Question

Point G is the midpoint of PQ.
PG equals 2X plus 3 and GQ equals 5X -5. what is X?

Answer 1

`x=(8)/(3)=2(2)/(3)\approx{2.667}`

Explanation:

`\overline{PG}=2x+3\\\overline{GQ}=5x-5`

Since they're equidistant (equal distances), we can set them equal to one another and solve for x:

`2x+3=5x-5`

Adding 5 to both sides:

`2x+8=5x`

Subtracting 2x from both sides:

`8=3x`

Dividing both sides by 3:

`(8)/(3)=x`

Therefore:

`x=(8)/(3)=2(2)/(3)\approx{2.667}`