Solve 4x+3y=2y-13x

$$4 x + 3 y = 2 y - 13 x$$

Solve for x

$$x=-\frac{y}{17}$$

Steps for Solving Linear Equation

Add 13x to both sides.

$$4x+3y+13x=2y$$

Combine 4x and 13x to get 17x.

$$17x+3y=2y$$

Subtract 3y from both sides.

$$17x=2y-3y$$

Combine 2y and -3y to get -y.

$$17x=-y$$

Divide both sides by 17.

$$\frac{17x}{17}=-\frac{y}{17}$$

Dividing by 17 undoes the multiplication by 17.

$$x=-\frac{y}{17}$$

Solve for y

$$y=-17x$$

Solution Steps

Subtract 2y from both sides.

$$4x+3y-2y=-13x$$

Combine 3y and -2y to get y.

$$4x+y=-13x$$

Subtract 4x from both sides.

$$y=-13x-4x$$

Combine -13x and -4x to get -17x.

$$y=-17x$$