Solve x+2*y=y+5*x+1

$$x+2 \times y = y+5 \times x+1$$

Solve for x

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

Steps for Solving Linear Equation

Subtract 5x from both sides.

$$x+2y-5x=y+1$$

Combine x and -5x to get -4x.

$$-4x+2y=y+1$$

Subtract 2y from both sides.

$$-4x=y+1-2y$$

Combine y and -2y to get -y.

$$-4x=-y+1$$

The equation is in standard form.

$$-4x=1-y$$

Divide both sides by -4.

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

Dividing by -4 undoes the multiplication by -4.

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

Divide -y+1 by -4.

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

Solve for y

$$y=4x+1$$

Solution Steps

Subtract y from both sides.

$$x+2y-y=5x+1$$

Combine 2y and -y to get y.

$$x+y=5x+1$$

Subtract x from both sides.

$$y=5x+1-x$$

Combine 5x and -x to get 4x.

$$y=4x+1$$