Question

Solve the equation:

4/3-x + 1/x+9 = 5/3-x

Check all proposed solutions. Show work in solving and in checking.

Answer 1

I am pretty sure you mean:
4/(3-x) + 1/(x+9) = 5/(3-x)

multiply each term by (3-x)(x+9) to get

4(x+9) + (3-x) = 5(x+9)

easy to solve, I got x = -3

Answer 2

Are you sure because I got x = -3/26?? How would you check your work to prove it is -3?

Answer 3

to solve you would basically replace the x with -3 .
and if that doesnt work you replace x with the answer you got

Answer 4

4(x+9) + (3-x) = 5(x+9)
4x + 36 + 3 - x = 5x + 45
3x + 39 = 5x + 45
-2x = 6
x = -3

To check your work, plug your value of x into the original equation:

4/(3+3) + 1/(-3+9) = 5/(3+3)
4/6 + 1/6 = 5/6
5/6 = 5/6

So -3 is correct.

Answer 5

What about the -3/26 I got? Is the 26 not included?