Solve {l}{x=5-y_{y}}{x+3y=-6}

$$\left. \begin{array} { l } { x = 5 - y _ { y } } \\ { x + 3 y = - 6 } \end{array} \right.$$

Solve for x, y

$$x=5-y_{y}$$

$$y=\frac{y_{y}-11}{3}$$

Steps Using Substitution

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

$$x=5-y_{y},x+3y=-6$$

Pick one of the two equations which is more simple to solve for x by isolating x on the left hand side of the equal sign.

$$x=5-y_{y}$$

Substitute 5-y_{y} for x in the other equation, x+3y=-6.

$$5-y_{y}+3y=-6$$

Subtract 5-y_{y} from both sides of the equation.

$$3y=y_{y}-11$$

Divide both sides by 3.

$$y=\frac{y_{y}-11}{3}$$

The system is now solved.

$$x=5-y_{y},y=\frac{y_{y}-11}{3}$$