Solve y-0=6/5[x-(-5)]

$$y - 0 = \frac { 6 } { 5 } [ x - ( - 5 ) ]$$

Solve for x

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

Steps for Solving Linear Equation

The opposite of -5 is 5.

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

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

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

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

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

Subtract 6 from both sides.

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

Reorder the terms.

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

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

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

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

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

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

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

Solve for y

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

Solution Steps

The opposite of -5 is 5.

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

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

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

Add 0 to both sides.

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

Add 6 and 0 to get 6.

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