Solve {l}{x=7}{y=7.5{(3x+4)}}{z=y}{a=z}{text{Solvefor}btext{where}}{b=a}

$$\left. \begin{array} { l } { x = 7 }\\ { y = 7.5 {(3 x + 4)} }\\ { z = y }\\ { a = z }\\ { \text{Solve for } b \text{ where} } \\ { b = a } \end{array} \right.$$

Solve for x, y, z, a, b

$$b=187.5$$

Solution Steps

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

$$y=7.5\left(3\times 7+4\right)$$

Multiply 3 and 7 to get 21.

$$y=7.5\left(21+4\right)$$

Add 21 and 4 to get 25.

$$y=7.5\times 25$$

Multiply 7.5 and 25 to get 187.5.

$$y=187.5$$

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

$$z=187.5$$

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

$$a=187.5$$

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

$$b=187.5$$

The system is now solved.

$$x=7 y=187.5 z=187.5 a=187.5 b=187.5$$