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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 (27.9+4.06x)/5.7 = (21.3+4.06x)/4.4 .
Question type: Equation
Solution:Original question:
| ( | 279 10 | + | 203 50 | x | ) | ÷ | 57 10 | = | ( | 213 10 | + | 203 50 | x | ) | ÷ | 22 5 |
| Left side of the equation = | 279 10 | × | 10 57 | + | 203 50 | x | × | 10 57 |
| = | 93 19 | + | 203 285 | x |
93 19 | + | 203 285 | x | = | ( | 213 10 | + | 203 50 | x | ) | ÷ | 22 5 |
| Right side of the equation = | 213 10 | × | 5 22 | + | 203 50 | x | × | 5 22 |
| = | 213 44 | + | 203 220 | x |
93 19 | + | 203 285 | x | = | 213 44 | + | 203 220 | x |
Transposition :
203 285 | x | − | 203 220 | x | = | 213 44 | − | 93 19 |
Combine the items on the left of the equation:
| - | 2639 12540 | x | = | 213 44 | − | 93 19 |
Combine the items on the right of the equation:
| - | 2639 12540 | x | = | - | 45 836 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
45 836 | = | 2639 12540 | 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 :
2639 12540 | x | = | 45 836 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 45 836 | ÷ | 2639 12540 |
| = | 45 836 | × | 12540 2639 |
| = | 45 | × | 15 2639 |
We obtained :
| x | = | 675 2639 |
Convert the result to decimal form :
| x | = | 0.255779 |