Solve y=2/7(tw+m)

$$y = \frac { 2 } { 7 } ( t w + m )$$

Solve for t (complex solution)

$$\left\{\begin{matrix}t=-\frac{2m-7y}{2w}\text{, }&w\neq 0\\t\in \mathrm{C}\text{, }&y=\frac{2m}{7}\text{ and }w=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{2}{7} by tw+m.

$$y=\frac{2}{7}tw+\frac{2}{7}m$$

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

$$\frac{2}{7}tw+\frac{2}{7}m=y$$

Subtract \frac{2}{7}m from both sides.

$$\frac{2}{7}tw=y-\frac{2}{7}m$$

The equation is in standard form.

$$\frac{2w}{7}t=-\frac{2m}{7}+y$$

Divide both sides by \frac{2}{7}w.

$$\frac{7\times \frac{2w}{7}t}{2w}=\frac{7\left(-\frac{2m}{7}+y\right)}{2w}$$

Dividing by \frac{2}{7}w undoes the multiplication by \frac{2}{7}w.

$$t=\frac{7\left(-\frac{2m}{7}+y\right)}{2w}$$

Divide y-\frac{2m}{7} by \frac{2}{7}w.

$$t=\frac{7y-2m}{2w}$$

Solve for m

$$m=-tw+\frac{7y}{2}$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{2}{7} by tw+m.

$$y=\frac{2}{7}tw+\frac{2}{7}m$$

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

$$\frac{2}{7}tw+\frac{2}{7}m=y$$

Subtract \frac{2}{7}tw from both sides.

$$\frac{2}{7}m=y-\frac{2}{7}tw$$

The equation is in standard form.

$$\frac{2}{7}m=-\frac{2tw}{7}+y$$

Divide both sides of the equation by \frac{2}{7}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{2}{7}m}{\frac{2}{7}}=\frac{-\frac{2tw}{7}+y}{\frac{2}{7}}$$

Dividing by \frac{2}{7} undoes the multiplication by \frac{2}{7}.

$$m=\frac{-\frac{2tw}{7}+y}{\frac{2}{7}}$$

Divide y-\frac{2tw}{7} by \frac{2}{7} by multiplying y-\frac{2tw}{7} by the reciprocal of \frac{2}{7}.

$$m=-tw+\frac{7y}{2}$$

Solve for t

$$\left\{\begin{matrix}t=-\frac{2m-7y}{2w}\text{, }&w\neq 0\\t\in \mathrm{R}\text{, }&y=\frac{2m}{7}\text{ and }w=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{2}{7} by tw+m.

$$y=\frac{2}{7}tw+\frac{2}{7}m$$

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

$$\frac{2}{7}tw+\frac{2}{7}m=y$$

Subtract \frac{2}{7}m from both sides.

$$\frac{2}{7}tw=y-\frac{2}{7}m$$

The equation is in standard form.

$$\frac{2w}{7}t=-\frac{2m}{7}+y$$

Divide both sides by \frac{2}{7}w.

$$\frac{7\times \frac{2w}{7}t}{2w}=\frac{7\left(-\frac{2m}{7}+y\right)}{2w}$$

Dividing by \frac{2}{7}w undoes the multiplication by \frac{2}{7}w.

$$t=\frac{7\left(-\frac{2m}{7}+y\right)}{2w}$$

Divide y-\frac{2m}{7} by \frac{2}{7}w.

$$t=\frac{7y-2m}{2w}$$