Solve {l}{y=3x+5}{y=-1/3+71/3}

$$\left\{ \begin{array} { l } { y = 3 x + 5 } \\ { y = - \frac { 1 } { 3 } + 7 \frac { 1 } { 3 } } \end{array} \right.$$

Solve for y, x

$$x=\frac{2}{3}\approx 0.666666667$$

$$y=7$$

Solution Steps

Consider the second equation. Multiply 7 and 3 to get 21.

$$y=-\frac{1}{3}+\frac{21+1}{3}$$

Add 21 and 1 to get 22.

$$y=-\frac{1}{3}+\frac{22}{3}$$

Add -\frac{1}{3} and \frac{22}{3} to get 7.

$$y=7$$

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

$$7=3x+5$$

Swap sides so that all variable terms are on the left hand side.

$$3x+5=7$$

Subtract 5 from both sides.

$$3x=7-5$$

Subtract 5 from 7 to get 2.

$$3x=2$$

Divide both sides by 3.

$$x=\frac{2}{3}$$

The system is now solved.

$$y=7 x=\frac{2}{3}$$