Question

Solve: −negative 1 over 2 x + 3 = −x + 7

A) 1/2
B) 8
C) -8
D) 2

Answer 1

\[\frac{-1}{2x+3}=-x+7\]
First thing to do is to bring the \(2x+3\) up from the bottom of the fraction. What do you get when you multiply both sides by \(2x+3\)?

Answer 2

6x

Answer 3

Nope, when you multiply both sides by \(2x+3\) you get:
\[-1=(2x+3)(-x+7)\]
Can you expand the brackets on the right hand side?

Answer 4

no you cant?

Answer 5

Yes:
\[-1=-2x^2-3x+14x+21\]
Take everything over to the left hand side:
\[2x^2-11x-20=0\]
Now you have a quadratic equation in standard form. Are you able to solve this now?

Answer 6

so the answer is 8