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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-78.16)/78.16*100-(0.92) = (y-101.97)/101.97*100 .
Question type: Equation
Solution:Original question:
| ( | y | − | 1954 25 | ) | ÷ | 1954 25 | × | 100 | − | ( | 23 25 | ) | = | ( | y | − | 10197 100 | ) | ÷ | 10197 100 | × | 100 |
| Left side of the equation = | ( | y | − | 1954 25 | ) | × | 1250 977 | − | ( | 23 25 | ) |
| ( | y | − | 1954 25 | ) | × | 1250 977 | − | ( | 23 25 | ) | = | ( | y | − | 10197 100 | ) | ÷ | 10197 100 | × | 100 |
| Left side of the equation = | y | × | 1250 977 | − | 1954 25 | × | 1250 977 | − | ( | 23 25 | ) |
| = | y | × | 1250 977 | − | 100 | − | ( | 23 25 | ) |
| = | 1250 977 | y | − | 100 | − | 23 25 |
| = | 1250 977 | y | − | 2523 25 |
1250 977 | y | − | 2523 25 | = | ( | y | − | 10197 100 | ) | ÷ | 10197 100 | × | 100 |
| Right side of the equation = | ( | y | − | 10197 100 | ) | × | 10000 10197 |
1250 977 | y | − | 2523 25 | = | ( | y | − | 10197 100 | ) | × | 10000 10197 |
| Right side of the equation = | y | × | 10000 10197 | − | 10197 100 | × | 10000 10197 |
| = | y | × | 10000 10197 | − | 100 |
1250 977 | y | − | 2523 25 | = | 10000 10197 | y | − | 100 |
Transposition :
1250 977 | y | − | 10000 10197 | y | = | - | 100 | + | 2523 25 |
Combine the items on the left of the equation:
2976250 9962469 | y | = | - | 100 | + | 2523 25 |
Combine the items on the right of the equation:
2976250 9962469 | y | = | 23 25 |
The coefficient of the unknown number is reduced to 1 :
| y | = | 23 25 | ÷ | 2976250 9962469 |
| = | 23 25 | × | 9962469 2976250 |
We obtained :
| y | = | 229136787 74406250 |
Convert the result to decimal form :
| y | = | 3.079537 |