Solve {l}{x=7}{y=0.5x+10}{z=y}{a=z}{text{Solvefor}btext{where}}{b=a}

$$\left. \begin{array} { l } { x = 7 }\\ { y = 0.5 x + 10 }\\ { z = y }\\ { a = z }\\ { \text{Solve for } b \text{ where} } \\ { b = a } \end{array} \right.$$

Solve for x, y, z, a, b

$$b=13.5$$

Solution Steps

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

$$y=0.5\times 7+10$$

Multiply 0.5 and 7 to get 3.5.

$$y=3.5+10$$

Add 3.5 and 10 to get 13.5.

$$y=13.5$$

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

$$z=13.5$$

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

$$a=13.5$$

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

$$b=13.5$$

The system is now solved.

$$x=7 y=13.5 z=13.5 a=13.5 b=13.5$$