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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 (326.01+12x)/143 = (309.99+12x)/137 .
Question type: Equation
Solution:Original question:
| ( | 32601 100 | + | 12 | x | ) | ÷ | 143 | = | ( | 30999 100 | + | 12 | x | ) | ÷ | 137 |
| Left side of the equation = | 32601 100 | × | 1 143 | + | 12 | x | × | 1 143 |
| = | 32601 14300 | + | 12 143 | x |
32601 14300 | + | 12 143 | x | = | ( | 30999 100 | + | 12 | x | ) | ÷ | 137 |
| Right side of the equation = | 30999 100 | × | 1 137 | + | 12 | x | × | 1 137 |
| = | 30999 13700 | + | 12 137 | x |
32601 14300 | + | 12 143 | x | = | 30999 13700 | + | 12 137 | x |
Transposition :
12 143 | x | − | 12 137 | x | = | 30999 13700 | − | 32601 14300 |
Combine the items on the left of the equation:
| - | 72 19591 | x | = | 30999 13700 | − | 32601 14300 |
Combine the items on the right of the equation:
| - | 72 19591 | x | = | - | 1674 97955 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1674 97955 | = | 72 19591 | 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 :
72 19591 | x | = | 1674 97955 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1674 97955 | ÷ | 72 19591 |
| = | 1674 97955 | × | 19591 72 |
| = | 93 685 | × | 137 4 |
We obtained :
| x | = | 12741 2740 |
Convert the result to decimal form :
| x | = | 4.65 |