Solve {l}{2x-20=y}{28x+244=2560}

$$\left\{ \begin{array} { l } { 2 x - 20 = y } \\ { 28 x + 244 = 2560 } \end{array} \right.$$

Solve for x, y

$$x = \frac{579}{7} = 82\frac{5}{7} \approx 82.714285714$$

$$y = \frac{1018}{7} = 145\frac{3}{7} \approx 145.428571429$$

Solution Steps

Consider the second equation. Subtract 244 from both sides.

$$28x=2560-244$$

Subtract 244 from 2560 to get 2316.

$$28x=2316$$

Divide both sides by 28.

$$x=\frac{2316}{28}$$

Reduce the fraction \frac{2316}{28} to lowest terms by extracting and canceling out 4.

$$x=\frac{579}{7}$$

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

$$2\times \frac{579}{7}-20=y$$

Multiply 2 and \frac{579}{7} to get \frac{1158}{7}.

$$\frac{1158}{7}-20=y$$

Subtract 20 from \frac{1158}{7} to get \frac{1018}{7}.

$$\frac{1018}{7}=y$$

Swap sides so that all variable terms are on the left hand side.

$$y=\frac{1018}{7}$$

The system is now solved.

$$x=\frac{579}{7} y=\frac{1018}{7}$$