Solve {l}{-24.5+7-x=3}{text{Solvefor}ytext{where}}{y=112/2{(4-6)}/-2}

$$\left. \begin{array} { l } { -24.5 + 7 - x = 3 }\\ { \text{Solve for } y \text{ where} } \\ { y = \frac{112}{2} {(4 - 6)} / -2 } \end{array} \right.$$

Solve for x, y

$$y=56$$

Solution Steps

Consider the first equation. Add -24.5 and 7 to get -17.5.

$$-17.5-x=3$$

Add 17.5 to both sides.

$$-x=3+17.5$$

Add 3 and 17.5 to get 20.5.

$$-x=20.5$$

Divide both sides by -1.

$$x=\frac{20.5}{-1}$$

Expand \frac{20.5}{-1} by multiplying both numerator and the denominator by 10.

$$x=\frac{205}{-10}$$

Reduce the fraction \frac{205}{-10} to lowest terms by extracting and canceling out 5.

$$x=-\frac{41}{2}$$

Consider the second equation. Divide 112 by 2 to get 56.

$$y=\frac{56\left(4-6\right)}{-2}$$

Subtract 6 from 4 to get -2.

$$y=\frac{56\left(-2\right)}{-2}$$

Multiply 56 and -2 to get -112.

$$y=\frac{-112}{-2}$$

Divide -112 by -2 to get 56.

$$y=56$$

The system is now solved.

$$x=-\frac{41}{2} y=56$$