Solve {l}{2x+5y=3}{3x-11=7}

$$\left\{ \begin{array} { l } { 2 x + 5 y = 3 } \\ { 3 x - 11 = 7 } \end{array} \right.$$

Solve for x, y

$$x=6$$

$$y = -\frac{9}{5} = -1\frac{4}{5} = -1.8$$

Solution Steps

Consider the second equation. Add 11 to both sides.

$$3x=7+11$$

Add 7 and 11 to get 18.

$$3x=18$$

Divide both sides by 3.

$$x=\frac{18}{3}$$

Divide 18 by 3 to get 6.

$$x=6$$

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

$$2\times 6+5y=3$$

Multiply 2 and 6 to get 12.

$$12+5y=3$$

Subtract 12 from both sides.

$$5y=3-12$$

Subtract 12 from 3 to get -9.

$$5y=-9$$

Divide both sides by 5.

$$y=-\frac{9}{5}$$

The system is now solved.

$$x=6 y=-\frac{9}{5}$$