Solve {l}{3x-1=y}{2y+3=11}

$$\left. \begin{array} { l } { 3 x - 1 = y } \\ { 2 y + 3 = 11 } \end{array} \right.$$

Solve for x, y

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

$$y=4$$

Solution Steps

Consider the second equation. Subtract 3 from both sides.

$$2y=11-3$$

Subtract 3 from 11 to get 8.

$$2y=8$$

Divide both sides by 2.

$$y=\frac{8}{2}$$

Divide 8 by 2 to get 4.

$$y=4$$

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

$$3x-1=4$$

Add 1 to both sides.

$$3x=4+1$$

Add 4 and 1 to get 5.

$$3x=5$$

Divide both sides by 3.

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

The system is now solved.

$$x=\frac{5}{3} y=4$$