Solve 16x+56y=42x+420y

$$16 x + 56 y = 42 x + 420 y$$

Solve for x

$$x=-14y$$

Steps for Solving Linear Equation

Subtract 42x from both sides.

$$16x+56y-42x=420y$$

Combine 16x and -42x to get -26x.

$$-26x+56y=420y$$

Subtract 56y from both sides.

$$-26x=420y-56y$$

Combine 420y and -56y to get 364y.

$$-26x=364y$$

Divide both sides by -26.

$$\frac{-26x}{-26}=\frac{364y}{-26}$$

Dividing by -26 undoes the multiplication by -26.

$$x=\frac{364y}{-26}$$

Divide 364y by -26.

$$x=-14y$$

Solve for y

$$y=-\frac{x}{14}$$

Steps for Solving Linear Equation

Subtract 420y from both sides.

$$16x+56y-420y=42x$$

Combine 56y and -420y to get -364y.

$$16x-364y=42x$$

Subtract 16x from both sides.

$$-364y=42x-16x$$

Combine 42x and -16x to get 26x.

$$-364y=26x$$

Divide both sides by -364.

$$\frac{-364y}{-364}=\frac{26x}{-364}$$

Dividing by -364 undoes the multiplication by -364.

$$y=\frac{26x}{-364}$$

Divide 26x by -364.

$$y=-\frac{x}{14}$$