Solve y-3=-3/4[x-(-5)]

$$y - 3 = - \frac { 3 } { 4 } [ x - ( - 5 ) ]$$

Solve for x

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

Steps for Solving Linear Equation

The opposite of -5 is 5.

$$y-3=-\frac{3}{4}\left(x+5\right)$$

Use the distributive property to multiply -\frac{3}{4} by x+5.

$$y-3=-\frac{3}{4}x-\frac{15}{4}$$

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

$$-\frac{3}{4}x-\frac{15}{4}=y-3$$

Add \frac{15}{4} to both sides.

$$-\frac{3}{4}x=y-3+\frac{15}{4}$$

Add -3 and \frac{15}{4} to get \frac{3}{4}.

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

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

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

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

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

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

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

Solve for y

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

Solution Steps

The opposite of -5 is 5.

$$y-3=-\frac{3}{4}\left(x+5\right)$$

Use the distributive property to multiply -\frac{3}{4} by x+5.

$$y-3=-\frac{3}{4}x-\frac{15}{4}$$

Add 3 to both sides.

$$y=-\frac{3}{4}x-\frac{15}{4}+3$$

Add -\frac{15}{4} and 3 to get -\frac{3}{4}.

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