Equations
Fold
Math OP
Unfold
Linear algebra
Unfold
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-1013)/1013*100-(-0.15) = (y-1011.47)/1011.47*100 .
Question type: Equation
Solution:Original question:
| ( | y | − | 1013 | ) | ÷ | 1013 | × | 100 | − | ( | - | 3 20 | ) | = | ( | y | − | 101147 100 | ) | ÷ | 101147 100 | × | 100 |
| Left side of the equation = | ( | y | − | 1013 | ) | × | 100 1013 | − | ( | - | 3 20 | ) |
| ( | y | − | 1013 | ) | × | 100 1013 | − | ( | - | 3 20 | ) | = | ( | y | − | 101147 100 | ) | ÷ | 101147 100 | × | 100 |
| Left side of the equation = | y | × | 100 1013 | − | 1013 | × | 100 1013 | − | ( | - | 3 20 | ) |
| = | y | × | 100 1013 | − | 101300 1013 | − | ( | - | 3 20 | ) |
| = | 100 1013 | y | − | 101300 1013 | + | 3 20 |
| = | 100 1013 | y | − | 2022961 20260 |
100 1013 | y | − | 2022961 20260 | = | ( | y | − | 101147 100 | ) | ÷ | 101147 100 | × | 100 |
| Right side of the equation = | ( | y | − | 101147 100 | ) | × | 10000 101147 |
100 1013 | y | − | 2022961 20260 | = | ( | y | − | 101147 100 | ) | × | 10000 101147 |
| Right side of the equation = | y | × | 10000 101147 | − | 101147 100 | × | 10000 101147 |
| = | y | × | 10000 101147 | − | 246700 2467 |
100 1013 | y | − | 2022961 20260 | = | 10000 101147 | y | − | 246700 2467 |
Transposition :
100 1013 | y | − | 10000 101147 | y | = | - | 246700 2467 | + | 2022961 20260 |
Combine the items on the left of the equation:
| - | 15300 102461911 | y | = | - | 246700 2467 | + | 2022961 20260 |
Combine the items on the right of the equation:
| - | 15300 102461911 | y | = | - | 7401 49340 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
7401 49340 | = | 15300 102461911 | 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 :
15300 102461911 | y | = | 7401 49340 |
The coefficient of the unknown number is reduced to 1 :
| y | = | 7401 49340 | ÷ | 15300 102461911 |
| = | 7401 49340 | × | 102461911 15300 |
| = | 2467 49340 | × | 102461911 5100 |
We obtained :
| y | = | 252773534437 251634000 |