Solve AT=48+R/1.439

$$A T = \frac { 48 + R } { 1.439 }$$

Solve for A (complex solution)

$$\left\{\begin{matrix}A=\frac{1000\left(R+48\right)}{1439T}\text{, }&T\neq 0\\A\in \mathrm{C}\text{, }&R=-48\text{ and }T=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Divide each term of 48+R by 1.439 to get \frac{48}{1.439}+\frac{R}{1.439}.

$$AT=\frac{48}{1.439}+\frac{R}{1.439}$$

Expand \frac{48}{1.439} by multiplying both numerator and the denominator by 1000.

$$AT=\frac{48000}{1439}+\frac{R}{1.439}$$

The equation is in standard form.

$$TA=\frac{1000R+48000}{1439}$$

Divide both sides by T.

$$\frac{TA}{T}=\frac{1000R+48000}{1439T}$$

Dividing by T undoes the multiplication by T.

$$A=\frac{1000R+48000}{1439T}$$

Divide \frac{48000+1000R}{1439} by T.

$$A=\frac{1000\left(R+48\right)}{1439T}$$

Solve for A

$$\left\{\begin{matrix}A=\frac{1000\left(R+48\right)}{1439T}\text{, }&T\neq 0\\A\in \mathrm{R}\text{, }&R=-48\text{ and }T=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Divide each term of 48+R by 1.439 to get \frac{48}{1.439}+\frac{R}{1.439}.

$$AT=\frac{48}{1.439}+\frac{R}{1.439}$$

Expand \frac{48}{1.439} by multiplying both numerator and the denominator by 1000.

$$AT=\frac{48000}{1439}+\frac{R}{1.439}$$

The equation is in standard form.

$$TA=\frac{1000R+48000}{1439}$$

Divide both sides by T.

$$\frac{TA}{T}=\frac{1000R+48000}{1439T}$$

Dividing by T undoes the multiplication by T.

$$A=\frac{1000R+48000}{1439T}$$

Divide \frac{48000+1000R}{1439} by T.

$$A=\frac{1000\left(R+48\right)}{1439T}$$

Solve for R

$$R=\frac{1439AT}{1000}-48$$

Steps for Solving Linear Equation

Divide each term of 48+R by 1.439 to get \frac{48}{1.439}+\frac{R}{1.439}.

$$AT=\frac{48}{1.439}+\frac{R}{1.439}$$

Expand \frac{48}{1.439} by multiplying both numerator and the denominator by 1000.

$$AT=\frac{48000}{1439}+\frac{R}{1.439}$$

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

$$\frac{48000}{1439}+\frac{R}{1.439}=AT$$

Subtract \frac{48000}{1439} from both sides.

$$\frac{R}{1.439}=AT-\frac{48000}{1439}$$

The equation is in standard form.

$$\frac{1000}{1439}R=AT-\frac{48000}{1439}$$

Divide both sides of the equation by \frac{1000}{1439}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{1000}{1439}R}{\frac{1000}{1439}}=\frac{AT-\frac{48000}{1439}}{\frac{1000}{1439}}$$

Dividing by \frac{1000}{1439} undoes the multiplication by \frac{1000}{1439}.

$$R=\frac{AT-\frac{48000}{1439}}{\frac{1000}{1439}}$$

Divide AT-\frac{48000}{1439} by \frac{1000}{1439} by multiplying AT-\frac{48000}{1439} by the reciprocal of \frac{1000}{1439}.

$$R=\frac{1439AT}{1000}-48$$