Solve {l}{x/92+y=30}{x-x-y/79=57}

$$\left. \begin{array} { l } { \frac { x } { 92 } + y = 30 } \\ { x - x - \frac { y } { 79 } = 57 } \end{array} \right.$$

Solve for x, y

$$x=417036$$

$$y=-4503$$

Solution Steps

Consider the first equation. Multiply both sides of the equation by 92.

$$x+92y=2760$$

Consider the second equation. Multiply both sides of the equation by 79.

$$79x-79x-y=4503$$

Combine 79x and -79x to get 0.

$$-y=4503$$

Divide both sides by -1.

$$y=-4503$$

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

$$x+92\left(-4503\right)=2760$$

Multiply 92 and -4503 to get -414276.

$$x-414276=2760$$

Add 414276 to both sides.

$$x=2760+414276$$

Add 2760 and 414276 to get 417036.

$$x=417036$$

The system is now solved.

$$x=417036 y=-4503$$