Solve y=-1/-4x-5

$$y = \frac { - 1 } { - 4 } x - 5$$

Solve for x

$$x=4\left(y+5\right)$$

Steps for Solving Linear Equation

Fraction \frac{-1}{-4} can be simplified to \frac{1}{4} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{1}{4}x-5$$

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

$$\frac{1}{4}x-5=y$$

Add 5 to both sides.

$$\frac{1}{4}x=y+5$$

Multiply both sides by 4.

$$\frac{\frac{1}{4}x}{\frac{1}{4}}=\frac{y+5}{\frac{1}{4}}$$

Dividing by \frac{1}{4} undoes the multiplication by \frac{1}{4}.

$$x=\frac{y+5}{\frac{1}{4}}$$

Divide y+5 by \frac{1}{4} by multiplying y+5 by the reciprocal of \frac{1}{4}.

$$x=4y+20$$

Solve for y

$$y=\frac{x-20}{4}$$

Solution Steps

Fraction \frac{-1}{-4} can be simplified to \frac{1}{4} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{1}{4}x-5$$