Solve {l}{y=-5x+6}{y=3}

$$\left. \begin{array} { l } { y = - 5 x + 6 } \\ { y = 3 } \end{array} \right.$$

Solve for y, x

$$x=\frac{3}{5}=0.6$$

$$y=3$$

Solution Steps

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

$$3=-5x+6$$

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

$$-5x+6=3$$

Subtract 6 from both sides.

$$-5x=3-6$$

Subtract 6 from 3 to get -3.

$$-5x=-3$$

Divide both sides by -5.

$$x=\frac{-3}{-5}$$

Fraction \frac{-3}{-5} can be simplified to \frac{3}{5} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{3}{5}$$

The system is now solved.

$$y=3 x=\frac{3}{5}$$