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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[275+8(275+y)/21] = 10y .
Question type: Equation
Solution:Original question:
| 19 | ( | 275 | + | 8 | ( | 275 | + | y | ) | ÷ | 21 | ) | = | 10 | y |
| Left side of the equation = | 19 | × | 275 | + | 19 | × | 8 | ( | 275 | + | y | ) | ÷ | 21 |
| = | 5225 | + | 152 21 | ( | 275 | + | y | ) |
| = | 5225 | + | 152 21 | × | 275 | + | 152 21 | y |
| = | 5225 | + | 41800 21 | + | 152 21 | y |
| = | 151525 21 | + | 152 21 | y |
151525 21 | + | 152 21 | y | = | 10 | y |
Transposition :
152 21 | y | − | 10 | y | = | - | 151525 21 |
Combine the items on the left of the equation:
| - | 58 21 | y | = | - | 151525 21 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
151525 21 | = | 58 21 | 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 :
58 21 | y | = | 151525 21 |
The coefficient of the unknown number is reduced to 1 :
| y | = | 151525 21 | ÷ | 58 21 |
| = | 151525 21 | × | 21 58 |
| = | 5225 | × | 1 2 |
We obtained :
| y | = | 5225 2 |
Convert the result to decimal form :
| y | = | 2612.5 |