Solve {l}{x=3}{y=5}{z=160+5x^2}{text{Solvefor}a,btext{where}}{a=y}{b=z}

$$\left. \begin{array} { l } { x = 3 }\\ { y = 5 }\\ { z = 160 + 5 x ^ {2} }\\ { \text{Solve for } a,b \text{ where} } \\ { a = y }\\ { b = z } \end{array} \right.$$

Solve for x, y, z, a, b

$$a=5$$

$$b=205$$

Solution Steps

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

$$z=160+5\times 3^{2}$$

Calculate 3 to the power of 2 and get 9.

$$z=160+5\times 9$$

Multiply 5 and 9 to get 45.

$$z=160+45$$

Add 160 and 45 to get 205.

$$z=205$$

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

$$b=205$$

The system is now solved.

$$x=3 y=5 z=205 a=5 b=205$$