Solve {l}{w=2}{n=3}{x=7{(-8w+6)}+5n}{text{Solvefor}ytext{where}}{y=x}

$$\left. \begin{array} { l } { w = 2 }\\ { n = 3 }\\ { x = 7 {(-8 w + 6)} + 5 n }\\ { \text{Solve for } y \text{ where} } \\ { y = x } \end{array} \right.$$

Solve for w, n, x, y

$$y=-55$$

Solution Steps

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

$$x=7\left(-8\times 2+6\right)+5\times 3$$

Multiply -8 and 2 to get -16.

$$x=7\left(-16+6\right)+5\times 3$$

Add -16 and 6 to get -10.

$$x=7\left(-10\right)+5\times 3$$

Multiply 7 and -10 to get -70.

$$x=-70+5\times 3$$

Multiply 5 and 3 to get 15.

$$x=-70+15$$

Add -70 and 15 to get -55.

$$x=-55$$

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

$$y=-55$$

The system is now solved.

$$w=2 n=3 x=-55 y=-55$$