Solve 0.1943=frac{Deltat_{19}-55.5}{201-55.5}

$$0.1943 = \frac { \Delta t _ { 19 } - 55.5 } { 201 - 55.5 }$$

Solve for t_19

$$t_{19}=\frac{1675413}{20000\Delta }$$

$$\Delta \neq 0$$

Steps for Solving Linear Equation

Subtract 55.5 from 201 to get 145.5.

$$0.1943=\frac{\Delta t_{19}-55.5}{145.5}$$

Divide each term of \Delta t_{19}-55.5 by 145.5 to get \frac{\Delta t_{19}}{145.5}+\frac{-55.5}{145.5}.

$$0.1943=\frac{\Delta t_{19}}{145.5}+\frac{-55.5}{145.5}$$

Expand \frac{-55.5}{145.5} by multiplying both numerator and the denominator by 10.

$$0.1943=\frac{\Delta t_{19}}{145.5}+\frac{-555}{1455}$$

Reduce the fraction \frac{-555}{1455} to lowest terms by extracting and canceling out 15.

$$0.1943=\frac{\Delta t_{19}}{145.5}-\frac{37}{97}$$

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

$$\frac{\Delta t_{19}}{145.5}-\frac{37}{97}=0.1943$$

Add \frac{37}{97} to both sides.

$$\frac{\Delta t_{19}}{145.5}=0.1943+\frac{37}{97}$$

Add 0.1943 and \frac{37}{97} to get \frac{558471}{970000}.

$$\frac{\Delta t_{19}}{145.5}=\frac{558471}{970000}$$

Multiply both sides by 145.5.

$$\Delta t_{19}=\frac{558471}{970000}\times 145.5$$

Multiply \frac{558471}{970000} and 145.5 to get \frac{1675413}{20000}.

$$\Delta t_{19}=\frac{1675413}{20000}$$

Divide both sides by \Delta .

$$\frac{\Delta t_{19}}{\Delta }=\frac{\frac{1675413}{20000}}{\Delta }$$

Dividing by \Delta undoes the multiplication by \Delta .

$$t_{19}=\frac{\frac{1675413}{20000}}{\Delta }$$

Divide \frac{1675413}{20000} by \Delta .

$$t_{19}=\frac{1675413}{20000\Delta }$$

Solve for Δ

$$\Delta =\frac{1675413}{20000t_{19}}$$

$$t_{19}\neq 0$$

Steps for Solving Linear Equation

Subtract 55.5 from 201 to get 145.5.

$$0.1943=\frac{\Delta t_{19}-55.5}{145.5}$$

Divide each term of \Delta t_{19}-55.5 by 145.5 to get \frac{\Delta t_{19}}{145.5}+\frac{-55.5}{145.5}.

$$0.1943=\frac{\Delta t_{19}}{145.5}+\frac{-55.5}{145.5}$$

Expand \frac{-55.5}{145.5} by multiplying both numerator and the denominator by 10.

$$0.1943=\frac{\Delta t_{19}}{145.5}+\frac{-555}{1455}$$

Reduce the fraction \frac{-555}{1455} to lowest terms by extracting and canceling out 15.

$$0.1943=\frac{\Delta t_{19}}{145.5}-\frac{37}{97}$$

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

$$\frac{\Delta t_{19}}{145.5}-\frac{37}{97}=0.1943$$

Add \frac{37}{97} to both sides.

$$\frac{\Delta t_{19}}{145.5}=0.1943+\frac{37}{97}$$

Add 0.1943 and \frac{37}{97} to get \frac{558471}{970000}.

$$\frac{\Delta t_{19}}{145.5}=\frac{558471}{970000}$$

Multiply both sides by 145.5.

$$\Delta t_{19}=\frac{558471}{970000}\times 145.5$$

Multiply \frac{558471}{970000} and 145.5 to get \frac{1675413}{20000}.

$$\Delta t_{19}=\frac{1675413}{20000}$$

The equation is in standard form.

$$t_{19}\Delta =\frac{1675413}{20000}$$

Divide both sides by t_{19}.

$$\frac{t_{19}\Delta }{t_{19}}=\frac{\frac{1675413}{20000}}{t_{19}}$$

Dividing by t_{19} undoes the multiplication by t_{19}.

$$\Delta =\frac{\frac{1675413}{20000}}{t_{19}}$$

Divide \frac{1675413}{20000} by t_{19}.

$$\Delta =\frac{1675413}{20000t_{19}}$$