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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 （0.2475*100+0.2094r）*0.74 = （r+8）*0.2094 .
Question type: Equation
Solution:Original question:
| ( | 99 400 | × | 100 | + | 1047 5000 | r | ) | × | 37 50 | = | ( | r | + | 8 | ) | × | 1047 5000 |
| Left side of the equation = | 99 400 | × | 100 | × | 37 50 | + | 1047 5000 | r | × | 37 50 |
| = | 3663 200 | + | 38739 250000 | r |
3663 200 | + | 38739 250000 | r | = | ( | r | + | 8 | ) | × | 1047 5000 |
| Right side of the equation = | r | × | 1047 5000 | + | 8 | × | 1047 5000 |
| = | r | × | 1047 5000 | + | 1047 625 |
3663 200 | + | 38739 250000 | r | = | 1047 5000 | r | + | 1047 625 |
Transposition :
38739 250000 | r | − | 1047 5000 | r | = | 1047 625 | − | 3663 200 |
Combine the items on the left of the equation:
| - | 13611 250000 | r | = | 1047 625 | − | 3663 200 |
Combine the items on the right of the equation:
| - | 13611 250000 | r | = | - | 83199 5000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
83199 5000 | = | 13611 250000 | r |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
13611 250000 | r | = | 83199 5000 |
The coefficient of the unknown number is reduced to 1 :
| r | = | 83199 5000 | ÷ | 13611 250000 |
| = | 83199 5000 | × | 250000 13611 |
| = | 27733 | × | 50 4537 |
We obtained :
| r | = | 1386650 4537 |
Convert the result to decimal form :
| r | = | 305.631475 |