Solve y=-3/2/2(x-1/2)+0

$$y = \frac { - 3 / 2 } { 2 } ( x - \frac { 1 } { 2 } ) + 0$$

Solve for x

$$x=-\frac{4y}{3}+\frac{1}{2}$$

Steps for Solving Linear Equation

Express \frac{-\frac{3}{2}}{2} as a single fraction.

$$y=\frac{-3}{2\times 2}\left(x-\frac{1}{2}\right)+0$$

Multiply 2 and 2 to get 4.

$$y=\frac{-3}{4}\left(x-\frac{1}{2}\right)+0$$

Fraction \frac{-3}{4} can be rewritten as -\frac{3}{4} by extracting the negative sign.

$$y=-\frac{3}{4}\left(x-\frac{1}{2}\right)+0$$

Use the distributive property to multiply -\frac{3}{4} by x-\frac{1}{2}.

$$y=-\frac{3}{4}x+\frac{3}{8}+0$$

Add \frac{3}{8} and 0 to get \frac{3}{8}.

$$y=-\frac{3}{4}x+\frac{3}{8}$$

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

$$-\frac{3}{4}x+\frac{3}{8}=y$$

Subtract \frac{3}{8} from both sides.

$$-\frac{3}{4}x=y-\frac{3}{8}$$

Divide both sides of the equation by -\frac{3}{4}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{3}{4}x}{-\frac{3}{4}}=\frac{y-\frac{3}{8}}{-\frac{3}{4}}$$

Dividing by -\frac{3}{4} undoes the multiplication by -\frac{3}{4}.

$$x=\frac{y-\frac{3}{8}}{-\frac{3}{4}}$$

Divide y-\frac{3}{8} by -\frac{3}{4} by multiplying y-\frac{3}{8} by the reciprocal of -\frac{3}{4}.

$$x=-\frac{4y}{3}+\frac{1}{2}$$

Solve for y

$$y=-\frac{3x}{4}+\frac{3}{8}$$

Solution Steps

Express \frac{-\frac{3}{2}}{2} as a single fraction.

$$y=\frac{-3}{2\times 2}\left(x-\frac{1}{2}\right)+0$$

Multiply 2 and 2 to get 4.

$$y=\frac{-3}{4}\left(x-\frac{1}{2}\right)+0$$

Fraction \frac{-3}{4} can be rewritten as -\frac{3}{4} by extracting the negative sign.

$$y=-\frac{3}{4}\left(x-\frac{1}{2}\right)+0$$

Use the distributive property to multiply -\frac{3}{4} by x-\frac{1}{2}.

$$y=-\frac{3}{4}x+\frac{3}{8}+0$$

Add \frac{3}{8} and 0 to get \frac{3}{8}.

$$y=-\frac{3}{4}x+\frac{3}{8}$$