Solve y+2=1/4(x-1)

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

Solve for x

$$x=4y+9$$

Steps for Solving Linear Equation

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

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

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

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

Add \frac{1}{4} to both sides.

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

Add 2 and \frac{1}{4} to get \frac{9}{4}.

$$\frac{1}{4}x=y+\frac{9}{4}$$

Multiply both sides by 4.

$$\frac{\frac{1}{4}x}{\frac{1}{4}}=\frac{y+\frac{9}{4}}{\frac{1}{4}}$$

Dividing by \frac{1}{4} undoes the multiplication by \frac{1}{4}.

$$x=\frac{y+\frac{9}{4}}{\frac{1}{4}}$$

Divide y+\frac{9}{4} by \frac{1}{4} by multiplying y+\frac{9}{4} by the reciprocal of \frac{1}{4}.

$$x=4y+9$$

Solve for y

$$y=\frac{x-9}{4}$$

Solution Steps

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

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

Subtract 2 from both sides.

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

Subtract 2 from -\frac{1}{4} to get -\frac{9}{4}.

$$y=\frac{1}{4}x-\frac{9}{4}$$