Solve {l}{x+y=500}{0195x-1115y=531}

$$\left. \begin{array} { l } { x + y = 500 } \\ { 0195 x - 1115 y = 531 } \end{array} \right.$$

Solve for x, y

$$x = \frac{558031}{1115} = 500\frac{531}{1115} \approx 500.476233184$$

$$y=-\frac{531}{1115}\approx -0.476233184$$

Solution Steps

Consider the second equation. Multiply 0 and 195 to get 0.

$$0x-1115y=531$$

Anything times zero gives zero.

$$0-1115y=531$$

Anything plus zero gives itself.

$$-1115y=531$$

Divide both sides by -1115.

$$y=-\frac{531}{1115}$$

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

$$x-\frac{531}{1115}=500$$

Add \frac{531}{1115} to both sides.

$$x=500+\frac{531}{1115}$$

Add 500 and \frac{531}{1115} to get \frac{558031}{1115}.

$$x=\frac{558031}{1115}$$

The system is now solved.

$$x=\frac{558031}{1115} y=-\frac{531}{1115}$$