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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 1.427*2100+112.6 = 1.425*500+1.420*400+1.418*400+1.435*400+x*400 .
Question type: Equation
Solution:Original question:
1427 1000 | × | 2100 | + | 563 5 | = | 57 40 | × | 500 | + | 71 50 | × | 400 | + | 709 500 | × | 400 | + | 287 200 | × | 400 | + | x | × | 400 |
| Left side of the equation = | 29967 10 | + | 563 5 |
| = | 31093 10 |
31093 10 | = | 57 40 | × | 500 | + | 71 50 | × | 400 | + | 709 500 | × | 400 | + | 287 200 | × | 400 | + | x | × | 400 |
| Right side of the equation = | 1425 2 | + | 568 | + | 2836 5 | + | 574 | + | x | × | 400 |
| = | 24217 10 | + | 400 | x |
31093 10 | = | 24217 10 | + | 400 | x |
Transposition :
| - | 400 | x | = | 24217 10 | − | 31093 10 |
Combine the items on the right of the equation:
| - | 400 | x | = | - | 3438 5 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
3438 5 | = | 400 | x |
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 :
| 400 | x | = | 3438 5 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 3438 5 | ÷ | 400 |
| = | 3438 5 | × | 1 400 |
| = | 1719 5 | × | 1 200 |
We obtained :
| x | = | 1719 1000 |
Convert the result to decimal form :
| x | = | 1.719 |