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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 19*0.9x/88 = (80-x)*0.78/84 .
Question type: Equation
Solution:Original question:
| 19 | × | 9 10 | x | ÷ | 88 | = | ( | 80 | − | x | ) | × | 39 50 | ÷ | 84 |
| Left side of the equation = | 171 880 | x |
171 880 | x | = | ( | 80 | − | x | ) | × | 39 50 | ÷ | 84 |
| Right side of the equation = | ( | 80 | − | x | ) | × | 13 1400 |
171 880 | x | = | ( | 80 | − | x | ) | × | 13 1400 |
| Right side of the equation = | 80 | × | 13 1400 | − | x | × | 13 1400 |
| = | 26 35 | − | x | × | 13 1400 |
171 880 | x | = | 26 35 | − | 13 1400 | x |
Transposition :
171 880 | x | + | 13 1400 | x | = | 26 35 |
Combine the items on the left of the equation:
6271 30800 | x | = | 26 35 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 26 35 | ÷ | 6271 30800 |
| = | 26 35 | × | 30800 6271 |
| = | 26 | × | 880 6271 |
We obtained :
| x | = | 22880 6271 |
Convert the result to decimal form :
| x | = | 3.648541 |