Solve x+y/3=M

$$\frac { x + y } { 3 } = M$$

Solve for M

$$M=\frac{x+y}{3}$$

Solution Steps

Divide each term of x+y by 3 to get \frac{1}{3}x+\frac{1}{3}y.

$$\frac{1}{3}x+\frac{1}{3}y=M$$

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

$$M=\frac{1}{3}x+\frac{1}{3}y$$

Solve for x

$$x=-\left(y-3M\right)$$

Steps for Solving Linear Equation

Divide each term of x+y by 3 to get \frac{1}{3}x+\frac{1}{3}y.

$$\frac{1}{3}x+\frac{1}{3}y=M$$

Subtract \frac{1}{3}y from both sides.

$$\frac{1}{3}x=M-\frac{1}{3}y$$

The equation is in standard form.

$$\frac{1}{3}x=-\frac{y}{3}+M$$

Multiply both sides by 3.

$$\frac{\frac{1}{3}x}{\frac{1}{3}}=\frac{-\frac{y}{3}+M}{\frac{1}{3}}$$

Dividing by \frac{1}{3} undoes the multiplication by \frac{1}{3}.

$$x=\frac{-\frac{y}{3}+M}{\frac{1}{3}}$$

Divide M-\frac{y}{3} by \frac{1}{3} by multiplying M-\frac{y}{3} by the reciprocal of \frac{1}{3}.

$$x=3M-y$$