Solve {l}{11-6x=x-3}{text{Solvefor}ytext{where}}{y=-5x}

$$\left. \begin{array} { l } { 11 - 6 x = x - 3 }\\ { \text{Solve for } y \text{ where} } \\ { y = -5 x } \end{array} \right.$$

Solve for x, y

$$y=-10$$

Solution Steps

Consider the first equation. Subtract x from both sides.

$$11-6x-x=-3$$

Combine -6x and -x to get -7x.

$$11-7x=-3$$

Subtract 11 from both sides.

$$-7x=-3-11$$

Subtract 11 from -3 to get -14.

$$-7x=-14$$

Divide both sides by -7.

$$x=\frac{-14}{-7}$$

Divide -14 by -7 to get 2.

$$x=2$$

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

$$y=-5\times 2$$

Multiply -5 and 2 to get -10.

$$y=-10$$

The system is now solved.

$$x=2 y=-10$$