Solve {l}{2x+3y=7}{2x+2y-2y=1}

$$\left\{ \begin{array} { l } { 2 x + 3 y = 7 } \\ { 2 x + 2 y - 2 y = 1 } \end{array} \right.$$

Solve for x, y

$$x=\frac{1}{2}=0.5$$

$$y=2$$

Solution Steps

Consider the second equation. Combine 2y and -2y to get 0.

$$2x=1$$

Divide both sides by 2.

$$x=\frac{1}{2}$$

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

$$2\times \frac{1}{2}+3y=7$$

Multiply 2 and \frac{1}{2} to get 1.

$$1+3y=7$$

Subtract 1 from both sides.

$$3y=7-1$$

Subtract 1 from 7 to get 6.

$$3y=6$$

Divide both sides by 3.

$$y=\frac{6}{3}$$

Divide 6 by 3 to get 2.

$$y=2$$

The system is now solved.

$$x=\frac{1}{2} y=2$$