Answer
$x=59$
Work Step by Step
We may substitute the expressions involving x into the equation $y_{1}-y_{2}=-4$ and solve:
$(\frac{x+1}{4})-(\frac{x-2}{3})=-4$
$(\frac{3}{3})(\frac{x+1}{4})-(\frac{4}{4})(\frac{x-2}{3})=-4$
$(\frac{3x+3}{12})-(\frac{4x-8}{12})=-4$
$\frac{(3x+3)-(4x-8)}{12}=-4$
$\frac{3x+3-4x+8}{12}=-4$
$\frac{-x+11}{12}=-4$
$(12)(\frac{-x+11}{12})=(12)(-4)$
$-x+11=-48$
$-x=-59$
$x=59$
Because we are dealing with a linear equation in one variable, there is only one answer.
