Solve {l}{x+3y=6}{y+9y=9}

$$\left. \begin{array} { l } { x + 3 y = 6 } \\ { y + 9 y = 9 } \end{array} \right.$$

Solve for x, y

$$x = \frac{33}{10} = 3\frac{3}{10} = 3.3$$

$$y=\frac{9}{10}=0.9$$

Solution Steps

Consider the second equation. Combine y and 9y to get 10y.

$$10y=9$$

Divide both sides by 10.

$$y=\frac{9}{10}$$

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

$$x+3\times \frac{9}{10}=6$$

Multiply 3 and \frac{9}{10} to get \frac{27}{10}.

$$x+\frac{27}{10}=6$$

Subtract \frac{27}{10} from both sides.

$$x=6-\frac{27}{10}$$

Subtract \frac{27}{10} from 6 to get \frac{33}{10}.

$$x=\frac{33}{10}$$

The system is now solved.

$$x=\frac{33}{10} y=\frac{9}{10}$$