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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 65×7.8+12.15x = （65+x）×7.96 .
Question type: Equation
Solution:Original question:
| 65 | × | 39 5 | + | 243 20 | x | = | ( | 65 | + | x | ) | × | 199 25 |
| Left side of the equation = | 507 | + | 243 20 | x |
| 507 | + | 243 20 | x | = | ( | 65 | + | x | ) | × | 199 25 |
| Right side of the equation = | 65 | × | 199 25 | + | x | × | 199 25 |
| = | 2587 5 | + | x | × | 199 25 |
| 507 | + | 243 20 | x | = | 2587 5 | + | 199 25 | x |
Transposition :
243 20 | x | − | 199 25 | x | = | 2587 5 | − | 507 |
Combine the items on the left of the equation:
419 100 | x | = | 2587 5 | − | 507 |
Combine the items on the right of the equation:
419 100 | x | = | 52 5 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 52 5 | ÷ | 419 100 |
| = | 52 5 | × | 100 419 |
| = | 52 | × | 20 419 |
We obtained :
| x | = | 1040 419 |
Convert the result to decimal form :
| x | = | 2.4821 |