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 140×7.86+13c = （140+c）×7.95 .
Question type: Equation
Solution:Original question:
| 140 | × | 393 50 | + | 13 | c | = | ( | 140 | + | c | ) | × | 159 20 |
| Left side of the equation = | 5502 5 | + | 13 | c |
5502 5 | + | 13 | c | = | ( | 140 | + | c | ) | × | 159 20 |
| Right side of the equation = | 140 | × | 159 20 | + | c | × | 159 20 |
| = | 1113 | + | c | × | 159 20 |
5502 5 | + | 13 | c | = | 1113 | + | 159 20 | c |
Transposition :
| 13 | c | − | 159 20 | c | = | 1113 | − | 5502 5 |
Combine the items on the left of the equation:
101 20 | c | = | 1113 | − | 5502 5 |
Combine the items on the right of the equation:
101 20 | c | = | 63 5 |
The coefficient of the unknown number is reduced to 1 :
| c | = | 63 5 | ÷ | 101 20 |
| = | 63 5 | × | 20 101 |
| = | 63 | × | 4 101 |
We obtained :
| c | = | 252 101 |
Convert the result to decimal form :
| c | = | 2.49505 |