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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 (150+A)*1.59*2 = (355+A)*2.03 .
Question type: Equation
Solution:Original question:
| ( | 150 | + | A | ) | × | 159 100 | × | 2 | = | ( | 355 | + | A | ) | × | 203 100 |
| Left side of the equation = | ( | 150 | + | A | ) | × | 159 50 |
| ( | 150 | + | A | ) | × | 159 50 | = | ( | 355 | + | A | ) | × | 203 100 |
| Left side of the equation = | 150 | × | 159 50 | + | A | × | 159 50 |
| = | 477 | + | A | × | 159 50 |
| 477 | + | 159 50 | A | = | ( | 355 | + | A | ) | × | 203 100 |
| Right side of the equation = | 355 | × | 203 100 | + | A | × | 203 100 |
| = | 14413 20 | + | A | × | 203 100 |
| 477 | + | 159 50 | A | = | 14413 20 | + | 203 100 | A |
Transposition :
159 50 | A | − | 203 100 | A | = | 14413 20 | − | 477 |
Combine the items on the left of the equation:
23 20 | A | = | 14413 20 | − | 477 |
Combine the items on the right of the equation:
23 20 | A | = | 4873 20 |
The coefficient of the unknown number is reduced to 1 :
| A | = | 4873 20 | ÷ | 23 20 |
| = | 4873 20 | × | 20 23 |
| = | 4873 | × | 1 23 |
We obtained :
| A | = | 4873 23 |
Convert the result to decimal form :
| A | = | 211.869565 |