Solve y=20left(30-xright)/30+1

$$y = 20 \frac{ \left( 30-x \right) }{ 30 } +1$$

Solve for x

$$x=\frac{63-3y}{2}$$

Steps for Solving Linear Equation

Express 20\times \frac{30-x}{30} as a single fraction.

$$y=\frac{20\left(30-x\right)}{30}+1$$

Use the distributive property to multiply 20 by 30-x.

$$y=\frac{600-20x}{30}+1$$

Divide each term of 600-20x by 30 to get 20-\frac{2}{3}x.

$$y=20-\frac{2}{3}x+1$$

Add 20 and 1 to get 21.

$$y=21-\frac{2}{3}x$$

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

$$21-\frac{2}{3}x=y$$

Subtract 21 from both sides.

$$-\frac{2}{3}x=y-21$$

Divide both sides of the equation by -\frac{2}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{2}{3}x}{-\frac{2}{3}}=\frac{y-21}{-\frac{2}{3}}$$

Dividing by -\frac{2}{3} undoes the multiplication by -\frac{2}{3}.

$$x=\frac{y-21}{-\frac{2}{3}}$$

Divide y-21 by -\frac{2}{3} by multiplying y-21 by the reciprocal of -\frac{2}{3}.

$$x=\frac{63-3y}{2}$$

Solve for y

$$y=-\frac{2x}{3}+21$$

Solution Steps

Express 20\times \frac{30-x}{30} as a single fraction.

$$y=\frac{20\left(30-x\right)}{30}+1$$

Use the distributive property to multiply 20 by 30-x.

$$y=\frac{600-20x}{30}+1$$

Divide each term of 600-20x by 30 to get 20-\frac{2}{3}x.

$$y=20-\frac{2}{3}x+1$$

Add 20 and 1 to get 21.

$$y=21-\frac{2}{3}x$$