Solve {l}{w=3.5}{x=-9}{y=-12.4}{z=w-x+y}{text{Solvefor}atext{where}}{a=z}

$$\left. \begin{array} { l } { w = 3.5 }\\ { x = -9 }\\ { y = -12.4 }\\ { z = w - x + y }\\ { \text{Solve for } a \text{ where} } \\ { a = z } \end{array} \right.$$

Solve for w, x, y, z, a

$$a=0.1$$

Solution Steps

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

$$z=3.5-\left(-9\right)-12.4$$

Multiply -1 and -9 to get 9.

$$z=3.5+9-12.4$$

Add 3.5 and 9 to get 12.5.

$$z=12.5-12.4$$

Subtract 12.4 from 12.5 to get 0.1.

$$z=0.1$$

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

$$a=0.1$$

The system is now solved.

$$w=3.5 x=-9 y=-12.4 z=0.1 a=0.1$$