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 304.5/31*x+186/31*(x+15)+93/31(x+30) = 972 .
Question type: Equation
Solution:Original question:
609 2 | ÷ | 31 | × | x | + | 186 | ÷ | 31 | × | ( | x | + | 15 | ) | + | 93 | ÷ | 31 | × | ( | x | + | 30 | ) | = | 972 |
| Left side of the equation = | 609 62 | x | + | 6 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) |
609 62 | x | + | 6 | ( | x | + | 15 | ) | + | 3 | ( | x | + | 30 | ) | = | 972 |
| Left side of the equation = | 609 62 | x | + | 6 | x | + | 6 | × | 15 | + | 3 | ( | x | + | 30 | ) |
| = | 609 62 | x | + | 6 | x | + | 90 | + | 3 | ( | x | + | 30 | ) |
| = | 981 62 | x | + | 90 | + | 3 | ( | x | + | 30 | ) |
| = | 981 62 | x | + | 90 | + | 3 | x | + | 3 | × | 30 |
| = | 981 62 | x | + | 90 | + | 3 | x | + | 90 |
| = | 1167 62 | x | + | 180 |
1167 62 | x | + | 180 | = | 972 |
Transposition :
1167 62 | x | = | 972 | − | 180 |
Combine the items on the right of the equation:
1167 62 | x | = | 792 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 792 | ÷ | 1167 62 |
| = | 792 | × | 62 1167 |
| = | 264 | × | 62 389 |
We obtained :
| x | = | 16368 389 |
Convert the result to decimal form :
| x | = | 42.077121 |