Solve {l}{x+2y=9}{-2+3y=10}

$$\left. \begin{array} { l } { x + 2 y = 9 } \\ { - 2 + 3 y = 10 } \end{array} \right.$$

Solve for x, y

$$x=1$$

$$y=4$$

Solution Steps

Consider the second equation. Add 2 to both sides.

$$3y=10+2$$

Add 10 and 2 to get 12.

$$3y=12$$

Divide both sides by 3.

$$y=\frac{12}{3}$$

Divide 12 by 3 to get 4.

$$y=4$$

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

$$x+2\times 4=9$$

Multiply 2 and 4 to get 8.

$$x+8=9$$

Subtract 8 from both sides.

$$x=9-8$$

Subtract 8 from 9 to get 1.

$$x=1$$

The system is now solved.

$$x=1 y=4$$