Solve {l}{5x+3y=4}{3y-y=6}

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

Solve for x, y

$$x=-1$$

$$y=3$$

Solution Steps

Consider the second equation. Combine 3y and -y to get 2y.

$$2y=6$$

Divide both sides by 2.

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

Divide 6 by 2 to get 3.

$$y=3$$

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

$$5x+3\times 3=4$$

Multiply 3 and 3 to get 9.

$$5x+9=4$$

Subtract 9 from both sides.

$$5x=4-9$$

Subtract 9 from 4 to get -5.

$$5x=-5$$

Divide both sides by 5.

$$x=\frac{-5}{5}$$

Divide -5 by 5 to get -1.

$$x=-1$$

The system is now solved.

$$x=-1 y=3$$