Solve y-(3)=3/4(x-(-4)

$$y - ( 3 ) = \frac { 3 } { 4 } ( x - ( - 4 )$$

Solve for x

$$x=\frac{4\left(y-6\right)}{3}$$

Steps for Solving Linear Equation

The opposite of -4 is 4.

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

Use the distributive property to multiply \frac{3}{4} by x+4.

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

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

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

Subtract 3 from both sides.

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

Subtract 3 from -3 to get -6.

$$\frac{3}{4}x=y-6$$

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

$$\frac{\frac{3}{4}x}{\frac{3}{4}}=\frac{y-6}{\frac{3}{4}}$$

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

$$x=\frac{y-6}{\frac{3}{4}}$$

Divide y-6 by \frac{3}{4} by multiplying y-6 by the reciprocal of \frac{3}{4}.

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

Solve for y

$$y=\frac{3\left(x+8\right)}{4}$$

Solution Steps

The opposite of -4 is 4.

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

Use the distributive property to multiply \frac{3}{4} by x+4.

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

Add 3 to both sides.

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

Add 3 and 3 to get 6.

$$y=\frac{3}{4}x+6$$