Solve {l}{20-x=35}{y=x+1-x}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { 20 - x = 35 }\\ { y = x + 1 - x }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z=1$$

Solution Steps

Consider the first equation. Subtract 20 from both sides.

$$-x=35-20$$

Subtract 20 from 35 to get 15.

$$-x=15$$

Divide both sides by -1.

$$x=-15$$

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

$$y=-15+1-\left(-15\right)$$

Add -15 and 1 to get -14.

$$y=-14-\left(-15\right)$$

Multiply -1 and -15 to get 15.

$$y=-14+15$$

Add -14 and 15 to get 1.

$$y=1$$

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

$$z=1$$

The system is now solved.

$$x=-15 y=1 z=1$$