Solve a=(55)(47.396)-(15)(137490)/(5)(55)-(15)^2

$$a = \frac { ( 55 ) ( 47.396 ) - ( 15 ) ( 137490 ) } { ( 5 ) ( 55 ) - ( 15 ) ^ { 2 } }$$

Solve for a

$$a=-41194.8644$$

Steps for Solving Linear Equation

Multiply 55 and 47.396 to get 2606.78.

$$a=\frac{2606.78-15\times 137490}{5\times 55-15^{2}}$$

Multiply 15 and 137490 to get 2062350.

$$a=\frac{2606.78-2062350}{5\times 55-15^{2}}$$

Subtract 2062350 from 2606.78 to get -2059743.22.

$$a=\frac{-2059743.22}{5\times 55-15^{2}}$$

Multiply 5 and 55 to get 275.

$$a=\frac{-2059743.22}{275-15^{2}}$$

Calculate 15 to the power of 2 and get 225.

$$a=\frac{-2059743.22}{275-225}$$

Subtract 225 from 275 to get 50.

$$a=\frac{-2059743.22}{50}$$

Expand \frac{-2059743.22}{50} by multiplying both numerator and the denominator by 100.

$$a=\frac{-205974322}{5000}$$

Reduce the fraction \frac{-205974322}{5000} to lowest terms by extracting and canceling out 2.

$$a=-\frac{102987161}{2500}$$

Assign a

$$a≔-41194.8644$$