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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 140×7.86+13c = （140+c）×7.93 .
Question type: Equation
Solution:Original question:
| 140 | × | 393 50 | + | 13 | c | = | ( | 140 | + | c | ) | × | 793 100 |
| Left side of the equation = | 5502 5 | + | 13 | c |
5502 5 | + | 13 | c | = | ( | 140 | + | c | ) | × | 793 100 |
| Right side of the equation = | 140 | × | 793 100 | + | c | × | 793 100 |
| = | 5551 5 | + | c | × | 793 100 |
5502 5 | + | 13 | c | = | 5551 5 | + | 793 100 | c |
Transposition :
| 13 | c | − | 793 100 | c | = | 5551 5 | − | 5502 5 |
Combine the items on the left of the equation:
507 100 | c | = | 5551 5 | − | 5502 5 |
Combine the items on the right of the equation:
507 100 | c | = | 49 5 |
The coefficient of the unknown number is reduced to 1 :
| c | = | 49 5 | ÷ | 507 100 |
| = | 49 5 | × | 100 507 |
| = | 49 | × | 20 507 |
We obtained :
| c | = | 980 507 |
Convert the result to decimal form :
| c | = | 1.932939 |