Solve z_{1}=(138-137)/1.06*43.72+139

$$z _ { 1 } = ( 138 - 137 ) / 1.06 \times 43.72 + 139$$

Solve for z_1

$$z_{1} = \frac{9553}{53} = 180\frac{13}{53} \approx 180.245283019$$

Steps for Solving Linear Equation

Subtract 137 from 138 to get 1.

$$z_{1}=\frac{1}{1.06}\times 43.72+139$$

Expand \frac{1}{1.06} by multiplying both numerator and the denominator by 100.

$$z_{1}=\frac{100}{106}\times 43.72+139$$

Reduce the fraction \frac{100}{106} to lowest terms by extracting and canceling out 2.

$$z_{1}=\frac{50}{53}\times 43.72+139$$

Convert decimal number 43.72 to fraction \frac{4372}{100}. Reduce the fraction \frac{4372}{100} to lowest terms by extracting and canceling out 4.

$$z_{1}=\frac{50}{53}\times \frac{1093}{25}+139$$

Multiply \frac{50}{53} times \frac{1093}{25} by multiplying numerator times numerator and denominator times denominator.

$$z_{1}=\frac{50\times 1093}{53\times 25}+139$$

Do the multiplications in the fraction \frac{50\times 1093}{53\times 25}.

$$z_{1}=\frac{54650}{1325}+139$$

Reduce the fraction \frac{54650}{1325} to lowest terms by extracting and canceling out 25.

$$z_{1}=\frac{2186}{53}+139$$

Convert 139 to fraction \frac{7367}{53}.

$$z_{1}=\frac{2186}{53}+\frac{7367}{53}$$

Since \frac{2186}{53} and \frac{7367}{53} have the same denominator, add them by adding their numerators.

$$z_{1}=\frac{2186+7367}{53}$$

Add 2186 and 7367 to get 9553.

$$z_{1}=\frac{9553}{53}$$

Assign z_1

$$z_{1}≔\frac{9553}{53}$$