Solve {l}{19x+18y=15}{x=9}{text{yes}}

$$\left. \begin{array} { l } { 19 x + 18 y = 15 } \\ { x = 9 } \\ { \text { yes } } \end{array} \right.$$

Solve for x, y

$$x=9$$

$$y = -\frac{26}{3} = -8\frac{2}{3} \approx -8.666666667$$

Solution Steps

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

$$19\times 9+18y=15$$

Multiply 19 and 9 to get 171.

$$171+18y=15$$

Subtract 171 from both sides.

$$18y=15-171$$

Subtract 171 from 15 to get -156.

$$18y=-156$$

Divide both sides by 18.

$$y=\frac{-156}{18}$$

Reduce the fraction \frac{-156}{18} to lowest terms by extracting and canceling out 6.

$$y=-\frac{26}{3}$$

The system is now solved.

$$x=9 y=-\frac{26}{3}$$