Solve {l}{3x-y=3}{x-2=6}

$$\left\{ \begin{array} { l } { 3 x - y = 3 } \\ { x - 2 = 6 } \end{array} \right.$$

Solve for x, y

$$x=8$$

$$y=21$$

Solution Steps

Consider the second equation. Add 2 to both sides.

$$x=6+2$$

Add 6 and 2 to get 8.

$$x=8$$

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

$$3\times 8-y=3$$

Multiply 3 and 8 to get 24.

$$24-y=3$$

Subtract 24 from both sides.

$$-y=3-24$$

Subtract 24 from 3 to get -21.

$$-y=-21$$

Divide both sides by -1.

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

Fraction \frac{-21}{-1} can be simplified to 21 by removing the negative sign from both the numerator and the denominator.

$$y=21$$

The system is now solved.

$$x=8 y=21$$