Solve y-0=-6/5(x+10)

$$y - 0 = \frac { - 6 } { 5 } ( x + 10 )$$

Solve for x

$$x=-\frac{5y}{6}-10$$

Steps for Solving Linear Equation

Fraction \frac{-6}{5} can be rewritten as -\frac{6}{5} by extracting the negative sign.

$$y-0=-\frac{6}{5}\left(x+10\right)$$

Use the distributive property to multiply -\frac{6}{5} by x+10.

$$y-0=-\frac{6}{5}x-12$$

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

$$-\frac{6}{5}x-12=y-0$$

Add 12 to both sides.

$$-\frac{6}{5}x=y-0+12$$

Reorder the terms.

$$-\frac{6}{5}x=y+12$$

Divide both sides of the equation by -\frac{6}{5}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{6}{5}x}{-\frac{6}{5}}=\frac{y+12}{-\frac{6}{5}}$$

Dividing by -\frac{6}{5} undoes the multiplication by -\frac{6}{5}.

$$x=\frac{y+12}{-\frac{6}{5}}$$

Divide y+12 by -\frac{6}{5} by multiplying y+12 by the reciprocal of -\frac{6}{5}.

$$x=-\frac{5y}{6}-10$$

Solve for y

$$y=-\frac{6x}{5}-12$$

Solution Steps

Fraction \frac{-6}{5} can be rewritten as -\frac{6}{5} by extracting the negative sign.

$$y-0=-\frac{6}{5}\left(x+10\right)$$

Use the distributive property to multiply -\frac{6}{5} by x+10.

$$y-0=-\frac{6}{5}x-12$$

Add 0 to both sides.

$$y=-\frac{6}{5}x-12+0$$

Add -12 and 0 to get -12.

$$y=-\frac{6}{5}x-12$$