Solve d_{2}=(18.8-15)(34.1-46.9)/(20-15)+15

$$d _ { 2 } = \frac { ( 18.8 - 15 ) ( 34.1 - 46.9 ) } { ( 20 - 15 ) } + 15$$

Solve for d_2

$$d_{2}=5.272$$

Steps for Solving Linear Equation

Subtract 15 from 18.8 to get 3.8.

$$d_{2}=\frac{3.8\left(34.1-46.9\right)}{20-15}+15$$

Subtract 46.9 from 34.1 to get -12.8.

$$d_{2}=\frac{3.8\left(-12.8\right)}{20-15}+15$$

Multiply 3.8 and -12.8 to get -48.64.

$$d_{2}=\frac{-48.64}{20-15}+15$$

Subtract 15 from 20 to get 5.

$$d_{2}=\frac{-48.64}{5}+15$$

Expand \frac{-48.64}{5} by multiplying both numerator and the denominator by 100.

$$d_{2}=\frac{-4864}{500}+15$$

Reduce the fraction \frac{-4864}{500} to lowest terms by extracting and canceling out 4.

$$d_{2}=-\frac{1216}{125}+15$$

Convert 15 to fraction \frac{1875}{125}.

$$d_{2}=-\frac{1216}{125}+\frac{1875}{125}$$

Since -\frac{1216}{125} and \frac{1875}{125} have the same denominator, add them by adding their numerators.

$$d_{2}=\frac{-1216+1875}{125}$$

Add -1216 and 1875 to get 659.

$$d_{2}=\frac{659}{125}$$

Assign d_2

$$d_{2}≔5.272$$