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

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

Solve for x, y

$$x = -\frac{4}{3} = -1\frac{1}{3} \approx -1.333333333$$

$$y=6$$

Solution Steps

Consider the second equation. Subtract 5 from both sides.

$$3x=1-5$$

Subtract 5 from 1 to get -4.

$$3x=-4$$

Divide both sides by 3.

$$x=-\frac{4}{3}$$

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

$$3\left(-\frac{4}{3}\right)+y=2$$

Multiply 3 and -\frac{4}{3} to get -4.

$$-4+y=2$$

Add 4 to both sides.

$$y=2+4$$

Add 2 and 4 to get 6.

$$y=6$$

The system is now solved.

$$x=-\frac{4}{3} y=6$$