Solve {l}{2y=ax+b}{x=5}{a=3}{b=-6}{z=y}{text{Solvefor}ctext{where}}{c=z}

$$\left. \begin{array} { l } { 2 y = a x + b }\\ { x = 5 }\\ { a = 3 }\\ { b = -6 }\\ { z = y }\\ { \text{Solve for } c \text{ where} } \\ { c = z } \end{array} \right.$$

Solve for y, a, x, b, z, c

$$c = \frac{9}{2} = 4\frac{1}{2} = 4.5$$

Solution Steps

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

$$2y=3\times 5-6$$

Multiply 3 and 5 to get 15.

$$2y=15-6$$

Subtract 6 from 15 to get 9.

$$2y=9$$

Divide both sides by 2.

$$y=\frac{9}{2}$$

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

$$z=\frac{9}{2}$$

Consider the equation (6). Insert the known values of variables into the equation.

$$c=\frac{9}{2}$$

The system is now solved.

$$y=\frac{9}{2} a=3 x=5 b=-6 z=\frac{9}{2} c=\frac{9}{2}$$