Solve {l}{x=5}{y=7}{z=0}{a=14-4xz}{b=13xy}{text{Solvefor}c,dtext{where}}{c=a}{d=b}

$$\left. \begin{array} { l } { x = 5 }\\ { y = 7 }\\ { z = 0 }\\ { a = 14 - 4 x z }\\ { b = 13 x y }\\ { \text{Solve for } c,d \text{ where} } \\ { c = a }\\ { d = b } \end{array} \right.$$

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

$$c=14$$

$$d=455$$

Solution Steps

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

$$a=14-4\times 5\times 0$$

Multiply -4 and 5 to get -20.

$$a=14-20\times 0$$

Multiply -20 and 0 to get 0.

$$a=14+0$$

Add 14 and 0 to get 14.

$$a=14$$

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

$$b=13\times 5\times 7$$

Multiply 13 and 5 to get 65.

$$b=65\times 7$$

Multiply 65 and 7 to get 455.

$$b=455$$

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

$$c=14$$

Consider the equation (7). Insert the known values of variables into the equation.

$$d=455$$

The system is now solved.

$$x=5 y=7 z=0 a=14 b=455 c=14 d=455$$