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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 【（1275/11）*x】+3 = （20-x）*8400/43 .
Question type: Equation
Solution:Original question:
| ( | ( | 1275 | ÷ | 11 | ) | x | ) | + | 3 | = | ( | 20 | − | x | ) | × | 8400 | ÷ | 43 |
| Left side of the equation = | ( | 1275 | ÷ | 11 | ) | x | + | 3 |
| = | 1275 | ÷ | 11 | × | x | + | 3 |
| = | 1275 11 | x | + | 3 |
1275 11 | x | + | 3 | = | ( | 20 | − | x | ) | × | 8400 | ÷ | 43 |
| Right side of the equation = | ( | 20 | − | x | ) | × | 8400 43 |
1275 11 | x | + | 3 | = | ( | 20 | − | x | ) | × | 8400 43 |
| Right side of the equation = | 20 | × | 8400 43 | − | x | × | 8400 43 |
| = | 168000 43 | − | x | × | 8400 43 |
1275 11 | x | + | 3 | = | 168000 43 | − | 8400 43 | x |
Transposition :
1275 11 | x | + | 8400 43 | x | = | 168000 43 | − | 3 |
Combine the items on the left of the equation:
147225 473 | x | = | 168000 43 | − | 3 |
Combine the items on the right of the equation:
147225 473 | x | = | 167871 43 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 167871 43 | ÷ | 147225 473 |
| = | 167871 43 | × | 473 147225 |
| = | 55957 | × | 11 49075 |
We obtained :
| x | = | 615527 49075 |
Convert the result to decimal form :
| x | = | 12.542578 |