Solve y=x2+3y-5

$$y=x2+3y-5$$

Solve for x_2

$$x_{2}=5-2y$$

Solution Steps

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

$$x_{2}+3y-5=y$$

Subtract 3y from both sides.

$$x_{2}-5=y-3y$$

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

$$x_{2}-5=-2y$$

Add 5 to both sides.

$$x_{2}=-2y+5$$

Solve for y

$$y=\frac{5-x_{2}}{2}$$

Steps for Solving Linear Equation

Subtract 3y from both sides.

$$y-3y=x_{2}-5$$

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

$$-2y=x_{2}-5$$

Divide both sides by -2.

$$\frac{-2y}{-2}=\frac{x_{2}-5}{-2}$$

Dividing by -2 undoes the multiplication by -2.

$$y=\frac{x_{2}-5}{-2}$$

Divide x_{2}-5 by -2.

$$y=\frac{5-x_{2}}{2}$$