Solve t=am+c

$$t = a m + c$$

Solve for a

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

Steps for Solving Linear Equation

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

$$am+c=t$$

Subtract c from both sides.

$$am=t-c$$

The equation is in standard form.

$$ma=t-c$$

Divide both sides by m.

$$\frac{ma}{m}=\frac{t-c}{m}$$

Dividing by m undoes the multiplication by m.

$$a=\frac{t-c}{m}$$

Solve for c

$$c=t-am$$

Solution Steps

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

$$am+c=t$$

Subtract am from both sides.

$$c=t-am$$