Solve {l}{2z+5=11}{z/x=3}

$$\left. \begin{array} { l } { 2 z + 5 = 11 } \\ { \frac { z } { x } = 3 } \end{array} \right.$$

Solve for z, x

$$x=1$$

$$z=3$$

Solution Steps

Consider the first equation. Subtract 5 from both sides.

$$2z=11-5$$

Subtract 5 from 11 to get 6.

$$2z=6$$

Divide both sides by 2.

$$z=\frac{6}{2}$$

Divide 6 by 2 to get 3.

$$z=3$$

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

$$\frac{3}{x}=3$$

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$3=3x$$

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

$$3x=3$$

Divide both sides by 3.

$$x=\frac{3}{3}$$

Divide 3 by 3 to get 1.

$$x=1$$

The system is now solved.

$$z=3 x=1$$