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

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

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

$$b=17$$

$$c=50$$

Solution Steps

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

$$z=3\times 5+2$$

Multiply 3 and 5 to get 15.

$$z=15+2$$

Add 15 and 2 to get 17.

$$z=17$$

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

$$a=2\times 5^{2}$$

Calculate 5 to the power of 2 and get 25.

$$a=2\times 25$$

Multiply 2 and 25 to get 50.

$$a=50$$

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

$$b=17$$

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

$$c=50$$

The system is now solved.

$$x=5 y=2 z=17 a=50 b=17 c=50$$