Solve y-5=5/3(x-0)

$$y - 5 = \frac { 5 } { 3 } ( x - 0 )$$

Solve for x

$$x=\frac{3\left(y-5\right)}{5}$$

Steps for Solving Linear Equation

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

$$\frac{5}{3}\left(x-0\right)=y-5$$

Reorder the terms.

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

Divide both sides of the equation by \frac{5}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.

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

Dividing by \frac{5}{3} undoes the multiplication by \frac{5}{3}.

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

Divide y-5 by \frac{5}{3} by multiplying y-5 by the reciprocal of \frac{5}{3}.

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

Solve for y

$$y=\frac{5\left(x+3\right)}{3}$$

Solution Steps

Add 5 to both sides.

$$y=\frac{5}{3}\left(x-0\right)+5$$

Reorder the terms.

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