Question

solve the equation 5 over 4 minus 1 over x minus 2 equals -4 over 4x minus. use complete sentences to explain how you solved the equation

Answer 1

Could you please make this more clear as to which numbers are in the numerators and denominators of each equations? And 4x minus what?

Answer 2

5/4 - 1/x-2 = -4/4x-8

sorry I typed it in wrong

Answer 3

The easiest thing to do here is first factor the right side of the equation.

5/4-1/(x-2)=-4/(4(x-2))
We can then multiply both sides by x-2
5(x-2)/4-1=-4/4
5(x-2)/4-1=-1
Now solve like any other linear equation.
5(x-2)/4=0
5(x-2)=0
x-2=0
x=2

But, because 2 makes the denominator of both equations zero, we can say the system has no real solutions.

Answer 4

Thanks :)