Solve y-1=-5/4(x-3)

$$y - 1 = \frac { - 5 } { 4 } ( x - 3 )$$

Solve for x

$$x=\frac{19-4y}{5}$$

Steps for Solving Linear Equation

Fraction \frac{-5}{4} can be rewritten as -\frac{5}{4} by extracting the negative sign.

$$y-1=-\frac{5}{4}\left(x-3\right)$$

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

$$y-1=-\frac{5}{4}x+\frac{15}{4}$$

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

$$-\frac{5}{4}x+\frac{15}{4}=y-1$$

Subtract \frac{15}{4} from both sides.

$$-\frac{5}{4}x=y-1-\frac{15}{4}$$

Subtract \frac{15}{4} from -1 to get -\frac{19}{4}.

$$-\frac{5}{4}x=y-\frac{19}{4}$$

Divide both sides of the equation by -\frac{5}{4}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{5}{4}x}{-\frac{5}{4}}=\frac{y-\frac{19}{4}}{-\frac{5}{4}}$$

Dividing by -\frac{5}{4} undoes the multiplication by -\frac{5}{4}.

$$x=\frac{y-\frac{19}{4}}{-\frac{5}{4}}$$

Divide y-\frac{19}{4} by -\frac{5}{4} by multiplying y-\frac{19}{4} by the reciprocal of -\frac{5}{4}.

$$x=\frac{19-4y}{5}$$

Solve for y

$$y=\frac{19-5x}{4}$$

Solution Steps

Fraction \frac{-5}{4} can be rewritten as -\frac{5}{4} by extracting the negative sign.

$$y-1=-\frac{5}{4}\left(x-3\right)$$

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

$$y-1=-\frac{5}{4}x+\frac{15}{4}$$

Add 1 to both sides.

$$y=-\frac{5}{4}x+\frac{15}{4}+1$$

Add \frac{15}{4} and 1 to get \frac{19}{4}.

$$y=-\frac{5}{4}x+\frac{19}{4}$$