Solve {l}{2x-10=12}{2x-5y=10}

$$\left. \begin{array} { l } { 2 x - 10 = 12 } \\ { 2 x - 5 y = 10 } \end{array} \right.$$

Solve for x, y

$$x=11$$

$$y = \frac{12}{5} = 2\frac{2}{5} = 2.4$$

Solution Steps

Consider the first equation. Add 10 to both sides.

$$2x=12+10$$

Add 12 and 10 to get 22.

$$2x=22$$

Divide both sides by 2.

$$x=\frac{22}{2}$$

Divide 22 by 2 to get 11.

$$x=11$$

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

$$2\times 11-5y=10$$

Multiply 2 and 11 to get 22.

$$22-5y=10$$

Subtract 22 from both sides.

$$-5y=10-22$$

Subtract 22 from 10 to get -12.

$$-5y=-12$$

Divide both sides by -5.

$$y=\frac{-12}{-5}$$

Fraction \frac{-12}{-5} can be simplified to \frac{12}{5} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{12}{5}$$

The system is now solved.

$$x=11 y=\frac{12}{5}$$