Solve {l}{8x+8y=6x+9y}{x=9}

$$\left\{ \begin{array} { l } { 8 x + 8 y = 6 x + 9 y } \\ { x = 9 } \end{array} \right.$$

Solve for x, y

$$x=9$$

$$y=18$$

Solution Steps

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

$$8\times 9+8y=6\times 9+9y$$

Multiply 8 and 9 to get 72.

$$72+8y=6\times 9+9y$$

Multiply 6 and 9 to get 54.

$$72+8y=54+9y$$

Subtract 9y from both sides.

$$72+8y-9y=54$$

Combine 8y and -9y to get -y.

$$72-y=54$$

Subtract 72 from both sides.

$$-y=54-72$$

Subtract 72 from 54 to get -18.

$$-y=-18$$

Divide both sides by -1.

$$y=\frac{-18}{-1}$$

Fraction \frac{-18}{-1} can be simplified to 18 by removing the negative sign from both the numerator and the denominator.

$$y=18$$

The system is now solved.

$$x=9 y=18$$