Solve {l}{y=-0.9x+481}{y=-0.46+588}

$$\left\{ \begin{array} { l } { y = - 0.9 x + 481 } \\ { y = - 0.46 + 588 } \end{array} \right.$$

Solve for y, x

$$x = -\frac{5327}{45} = -118\frac{17}{45} \approx -118.377777778$$

$$y=587.54$$

Solution Steps

Consider the second equation. Add -0.46 and 588 to get 587.54.

$$y=587.54$$

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

$$587.54=-0.9x+481$$

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

$$-0.9x+481=587.54$$

Subtract 481 from both sides.

$$-0.9x=587.54-481$$

Subtract 481 from 587.54 to get 106.54.

$$-0.9x=106.54$$

Divide both sides by -0.9.

$$x=\frac{106.54}{-0.9}$$

Expand \frac{106.54}{-0.9} by multiplying both numerator and the denominator by 100.

$$x=\frac{10654}{-90}$$

Reduce the fraction \frac{10654}{-90} to lowest terms by extracting and canceling out 2.

$$x=-\frac{5327}{45}$$

The system is now solved.

$$y=587.54 x=-\frac{5327}{45}$$