Solve {l}{2x+y=5}{3y+1=10}

$$\left\{ \begin{array} { l } { 2 x + y = 5 } \\ { 3 y + 1 = 10 } \end{array} \right.$$

Solve for x, y

$$x=1$$

$$y=3$$

Solution Steps

Consider the second equation. Subtract 1 from both sides.

$$3y=10-1$$

Subtract 1 from 10 to get 9.

$$3y=9$$

Divide both sides by 3.

$$y=\frac{9}{3}$$

Divide 9 by 3 to get 3.

$$y=3$$

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

$$2x+3=5$$

Subtract 3 from both sides.

$$2x=5-3$$

Subtract 3 from 5 to get 2.

$$2x=2$$

Divide both sides by 2.

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

Divide 2 by 2 to get 1.

$$x=1$$

The system is now solved.

$$x=1 y=3$$