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On line Solution of Monovariate Equation：
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (160+a)*1.59*2 = (498+a)*2.15 .
Question type: Equation
Solution:Original question:
| ( | 160 | + | a | ) | × | 159 100 | × | 2 | = | ( | 498 | + | a | ) | × | 43 20 |
| Left side of the equation = | ( | 160 | + | a | ) | × | 159 50 |
| ( | 160 | + | a | ) | × | 159 50 | = | ( | 498 | + | a | ) | × | 43 20 |
| Left side of the equation = | 160 | × | 159 50 | + | a | × | 159 50 |
| = | 2544 5 | + | a | × | 159 50 |
2544 5 | + | 159 50 | a | = | ( | 498 | + | a | ) | × | 43 20 |
| Right side of the equation = | 498 | × | 43 20 | + | a | × | 43 20 |
| = | 10707 10 | + | a | × | 43 20 |
2544 5 | + | 159 50 | a | = | 10707 10 | + | 43 20 | a |
Transposition :
159 50 | a | − | 43 20 | a | = | 10707 10 | − | 2544 5 |
Combine the items on the left of the equation:
103 100 | a | = | 10707 10 | − | 2544 5 |
Combine the items on the right of the equation:
103 100 | a | = | 5619 10 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 5619 10 | ÷ | 103 100 |
| = | 5619 10 | × | 100 103 |
| = | 5619 | × | 10 103 |
We obtained :
| a | = | 56190 103 |
Convert the result to decimal form :
| a | = | 545.533981 |