Michael J. answered • 08/26/20
Mathematics and Computer Programming for Gifted Students
In order to answer this we need to see the picture or to know a bit more about the problem. Based on you mentioning midpoints it's fair to assume that Q is a midpoint in this problem.
PQ=3x+14 and QR=7x-10; Find x
If Q is a midpoint in the line segment PQR, then the length of PQ is equal to the length of QR.
Since PQ = QR, then 3x+14 = 7x-10
Now we have a basic algebra problem:
3x+14 = 7x-10
Now solve for x by adding 10 to both sides of the equation and subtracting 3x from both sides of the equation as well.
3x-3x+14+10 = 7x-3x10+10
Now we can add everything together 24=4x
Now we can solve for x by dividing both sides by 4.
24/4 = 4x/4
x = 6
