Solve {l}{3x+4=7}{5x+2y=11}

$$\left. \begin{array} { l } { 3 x + 4 = 7 } \\ { 5 x + 2 y = 11 } \end{array} \right.$$

Solve for x, y

$$x=1$$

$$y=3$$

Solution Steps

Consider the first equation. Subtract 4 from both sides.

$$3x=7-4$$

Subtract 4 from 7 to get 3.

$$3x=3$$

Divide both sides by 3.

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

Divide 3 by 3 to get 1.

$$x=1$$

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

$$5\times 1+2y=11$$

Multiply 5 and 1 to get 5.

$$5+2y=11$$

Subtract 5 from both sides.

$$2y=11-5$$

Subtract 5 from 11 to get 6.

$$2y=6$$

Divide both sides by 2.

$$y=\frac{6}{2}$$

Divide 6 by 2 to get 3.

$$y=3$$

The system is now solved.

$$x=1 y=3$$