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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 （1.486-1.497）*1000+（y-1.497）*700-0.1-0.1 = 1 .
Question type: Equation
Solution:Original question:
| ( | 743 500 | − | 1497 1000 | ) | × | 1000 | + | ( | y | − | 1497 1000 | ) | × | 700 | − | 1 10 | − | 1 10 | = | 1 |
| Left side of the equation = | ( | 743 500 | − | 1497 1000 | ) | × | 1000 | + | ( | y | − | 1497 1000 | ) | × | 700 | − | 1 5 |
| ( | 743 500 | − | 1497 1000 | ) | × | 1000 | + | ( | y | − | 1497 1000 | ) | × | 700 | − | 1 5 | = | 1 |
| Left side of the equation = | 743 500 | × | 1000 | − | 1497 1000 | × | 1000 | + | ( | y | − | 1497 1000 | ) | × | 700 | − | 1 5 |
| = | 1486 | − | 1497 | + | ( | y | − | 1497 1000 | ) | × | 700 | − | 1 5 |
| = | - | 56 5 | + | ( | y | − | 1497 1000 | ) | × | 700 |
| = | - | 56 5 | + | y | × | 700 | − | 1497 1000 | × | 700 |
| = | - | 56 5 | + | y | × | 700 | − | 10479 10 |
| = | - | 10591 10 | + | 700 | y |
| - | 10591 10 | + | 700 | y | = | 1 |
Transposition :
| 700 | y | = | 1 | + | 10591 10 |
Combine the items on the right of the equation:
| 700 | y | = | 10601 10 |
The coefficient of the unknown number is reduced to 1 :
| y | = | 10601 10 | ÷ | 700 |
| = | 10601 10 | × | 1 700 |
We obtained :
| y | = | 10601 7000 |
Convert the result to decimal form :
| y | = | 1.514429 |