Solve {l}{5=20-{(x+24)}}{y=0}{z=x}{text{Solvefor}a,btext{where}}{a=y}{b=z}

$$\left. \begin{array} { l } { 5 = 20 - {(x + 24)} }\\ { y = 0 }\\ { z = x }\\ { \text{Solve for } a,b \text{ where} } \\ { a = y }\\ { b = z } \end{array} \right.$$

Solve for x, y, z, a, b

$$a=0$$

$$b=-9$$

Solution Steps

Consider the first equation. To find the opposite of x+24, find the opposite of each term.

$$5=20-x-24$$

Subtract 24 from 20 to get -4.

$$5=-4-x$$

Swap sides so that all variable terms are on the left hand side.

$$-4-x=5$$

Add 4 to both sides.

$$-x=5+4$$

Add 5 and 4 to get 9.

$$-x=9$$

Divide both sides by -1.

$$x=-9$$

Consider the third equation. Insert the known values of variables into the equation.

$$z=-9$$

Consider the fifth equation. Insert the known values of variables into the equation.

$$b=-9$$

The system is now solved.

$$x=-9 y=0 z=-9 a=0 b=-9$$