Solve a6x-13y=-22text{tofind}ytext{if}x=11

$$a 6 x - 13 y = - 22 \text { to find } y \text { if } x = 11$$

Solve for x, y

$$x=11$$

$$y=\frac{11\left(a_{6}+2\right)}{13}$$

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.

$$x=11,a_{6}x-13y=-22$$

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.

$$x=11$$

Substitute 11 for x in the other equation, a_{6}x-13y=-22.

$$a_{6}\times 11-13y=-22$$

Multiply a_{6} times 11.

$$11a_{6}-13y=-22$$

Subtract 11a_{6} from both sides of the equation.

$$-13y=-11a_{6}-22$$

Divide both sides by -13.

$$y=\frac{11a_{6}+22}{13}$$

The system is now solved.

$$x=11,y=\frac{11a_{6}+22}{13}$$