Solve {l}{text{1.}2x-x=5+4}{text{2.}y+2y+6=5+x-3}

$$\left. \begin{array} { l } { \text { 1. } 2 x - x = 5 + 4 } \\ { \text { 2. } y + 2 y + 6 = 5 + x - 3 } \end{array} \right.$$

Solve for x, y

$$x=9$$

$$y = \frac{5}{3} = 1\frac{2}{3} \approx 1.666666667$$

Solution Steps

Consider the first equation. Combine 2x and -x to get x.

$$x=5+4$$

Add 5 and 4 to get 9.

$$x=9$$

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

$$y+2y+6=5+9-3$$

Combine y and 2y to get 3y.

$$3y+6=5+9-3$$

Add 5 and 9 to get 14.

$$3y+6=14-3$$

Subtract 3 from 14 to get 11.

$$3y+6=11$$

Subtract 6 from both sides.

$$3y=11-6$$

Subtract 6 from 11 to get 5.

$$3y=5$$

Divide both sides by 3.

$$y=\frac{5}{3}$$

The system is now solved.

$$x=9 y=\frac{5}{3}$$