Solve {l}{3x-y=20}{5x-3x=20}

$$\left\{ \begin{array} { l } { 3 x - y = 20 } \\ { 5 x - 3 x = 20 } \end{array} \right.$$

Solve for x, y

$$x=10$$

$$y=10$$

Solution Steps

Consider the second equation. Combine 5x and -3x to get 2x.

$$2x=20$$

Divide both sides by 2.

$$x=\frac{20}{2}$$

Divide 20 by 2 to get 10.

$$x=10$$

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

$$3\times 10-y=20$$

Multiply 3 and 10 to get 30.

$$30-y=20$$

Subtract 30 from both sides.

$$-y=20-30$$

Subtract 30 from 20 to get -10.

$$-y=-10$$

Divide both sides by -1.

$$y=\frac{-10}{-1}$$

Fraction \frac{-10}{-1} can be simplified to 10 by removing the negative sign from both the numerator and the denominator.

$$y=10$$

The system is now solved.

$$x=10 y=10$$