Solve y=7/-6x

$$y = \frac { 7 } { - 6 } x$$

Solve for x

$$x=-\frac{6y}{7}$$

Steps for Solving Linear Equation

Fraction \frac{7}{-6} can be rewritten as -\frac{7}{6} by extracting the negative sign.

$$y=-\frac{7}{6}x$$

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

$$-\frac{7}{6}x=y$$

Divide both sides of the equation by -\frac{7}{6}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{7}{6}x}{-\frac{7}{6}}=\frac{y}{-\frac{7}{6}}$$

Dividing by -\frac{7}{6} undoes the multiplication by -\frac{7}{6}.

$$x=\frac{y}{-\frac{7}{6}}$$

Divide y by -\frac{7}{6} by multiplying y by the reciprocal of -\frac{7}{6}.

$$x=-\frac{6y}{7}$$

Solve for y

$$y=-\frac{7x}{6}$$

Solution Steps

Fraction \frac{7}{-6} can be rewritten as -\frac{7}{6} by extracting the negative sign.

$$y=-\frac{7}{6}x$$