Solve 6x-13y=-22text{tofind}ytext{if}x=11

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

Solve for x, y

$$x=11$$

$$y = \frac{88}{13} = 6\frac{10}{13} \approx 6.769230769$$

Solution Steps

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

$$6\times 11-13y=-22$$

Multiply 6 and 11 to get 66.

$$66-13y=-22$$

Subtract 66 from both sides.

$$-13y=-22-66$$

Subtract 66 from -22 to get -88.

$$-13y=-88$$

Divide both sides by -13.

$$y=\frac{-88}{-13}$$

Fraction \frac{-88}{-13} can be simplified to \frac{88}{13} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{88}{13}$$

The system is now solved.

$$x=11 y=\frac{88}{13}$$