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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 (y-67.13)/67.13*100-(-4.26) = (y-64.27)/64.27*100 .
Question type: Equation
Solution:Original question:
| ( | y | − | 6713 100 | ) | ÷ | 6713 100 | × | 100 | − | ( | - | 213 50 | ) | = | ( | y | − | 6427 100 | ) | ÷ | 6427 100 | × | 100 |
| Left side of the equation = | ( | y | − | 6713 100 | ) | × | 10000 6713 | − | ( | - | 213 50 | ) |
| ( | y | − | 6713 100 | ) | × | 10000 6713 | − | ( | - | 213 50 | ) | = | ( | y | − | 6427 100 | ) | ÷ | 6427 100 | × | 100 |
| Left side of the equation = | y | × | 10000 6713 | − | 6713 100 | × | 10000 6713 | − | ( | - | 213 50 | ) |
| = | y | × | 10000 6713 | − | 100 | − | ( | - | 213 50 | ) |
| = | 10000 6713 | y | − | 100 | + | 213 50 |
| = | 10000 6713 | y | − | 4787 50 |
10000 6713 | y | − | 4787 50 | = | ( | y | − | 6427 100 | ) | ÷ | 6427 100 | × | 100 |
| Right side of the equation = | ( | y | − | 6427 100 | ) | × | 10000 6427 |
10000 6713 | y | − | 4787 50 | = | ( | y | − | 6427 100 | ) | × | 10000 6427 |
| Right side of the equation = | y | × | 10000 6427 | − | 6427 100 | × | 10000 6427 |
| = | y | × | 10000 6427 | − | 642700 6427 |
10000 6713 | y | − | 4787 50 | = | 10000 6427 | y | − | 642700 6427 |
Transposition :
10000 6713 | y | − | 10000 6427 | y | = | - | 642700 6427 | + | 4787 50 |
Combine the items on the left of the equation:
| - | 2860000 43144451 | y | = | - | 642700 6427 | + | 4787 50 |
Combine the items on the right of the equation:
| - | 2860000 43144451 | y | = | - | 1368951 321350 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1368951 321350 | = | 2860000 43144451 | y |
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 :
2860000 43144451 | y | = | 1368951 321350 |
The coefficient of the unknown number is reduced to 1 :
| y | = | 1368951 321350 | ÷ | 2860000 43144451 |
| = | 1368951 321350 | × | 43144451 2860000 |
We obtained :
| y | = | 59062639340901 919061000000 |