Solve {l}{y+4=1/4(x-1)}{text{(6)Expucacion}}

$$\left. \begin{array} { l } { y + 4 = \frac { 1 } { 4 } ( x - 1 ) } \\ { \text { (6) Expucacion } } \end{array} \right.$$

Solve for x

$$x=4y+17$$

Steps for Solving Linear Equation

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

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

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

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

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

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

Add 4 and \frac{1}{4} to get \frac{17}{4}.

$$\frac{1}{4}x=y+\frac{17}{4}$$

Multiply both sides by 4.

$$\frac{\frac{1}{4}x}{\frac{1}{4}}=\frac{y+\frac{17}{4}}{\frac{1}{4}}$$

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

$$x=\frac{y+\frac{17}{4}}{\frac{1}{4}}$$

Divide y+\frac{17}{4} by \frac{1}{4} by multiplying y+\frac{17}{4} by the reciprocal of \frac{1}{4}.

$$x=4y+17$$