Solve x=-1/8(-2y+46)

$$x=- \frac{ 1 }{ 8 } (-2y+46)$$

Solve for y

$$y=4x+23$$

Steps for Solving Linear Equation

Use the distributive property to multiply -\frac{1}{8} by -2y+46.

$$x=\frac{1}{4}y-\frac{23}{4}$$

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

$$\frac{1}{4}y-\frac{23}{4}=x$$

Add \frac{23}{4} to both sides.

$$\frac{1}{4}y=x+\frac{23}{4}$$

Multiply both sides by 4.

$$\frac{\frac{1}{4}y}{\frac{1}{4}}=\frac{x+\frac{23}{4}}{\frac{1}{4}}$$

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

$$y=\frac{x+\frac{23}{4}}{\frac{1}{4}}$$

Divide x+\frac{23}{4} by \frac{1}{4} by multiplying x+\frac{23}{4} by the reciprocal of \frac{1}{4}.

$$y=4x+23$$

Solve for x

$$x=\frac{y-23}{4}$$

Solution Steps

Use the distributive property to multiply -\frac{1}{8} by -2y+46.

$$x=\frac{1}{4}y-\frac{23}{4}$$