detailed information: The input equation set is:
| | | | | | -2200 | C | + | | 6100 | D | | -5000 | F | = | | 0 | | (4) |
| | | | Question solving process:
Divide the two sides of equation (2) by 5600, the equation can be obtained: , then add the two sides of equation (8) to both sides of equation (7), the equations are reduced to:
| | | | | | -2200 | C | + | | 6100 | D | | -5000 | F | = | | 0 | | (4) |
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Add both sides of equation (3) to both sides of equation (4) ,the equations are reduced to:
Divide the two sides of equation (3) by 2200, the equation can be obtained: , then add the two sides of equation (9) to both sides of equation (5), the equations are reduced to:
Divide the two sides of equation (3) by 2200, the equation can be obtained: , then subtract both sides of equation (10) from both sides of equation (7), the equations are reduced to:
Divide the two sides of equation (4) by 3900, the equation can be obtained: , then subtract both sides of equation (11) from both sides of equation (7), the equations are reduced to:
交After the exchange of equation (5) and equation (6), the equation system becomes:
Multiply both sides of equation (6) by 50 Divide the two sides of equation (6) by 39, the equation can be obtained: , then add the two sides of equation (12) to both sides of equation (7), the equations are reduced to:
Multiply both sides of equation (6) by 5000, get the equation:, then subtract both sides of equation (13) from both sides of equation (4), get the equation:
Multiply both sides of equation (4) by 22 Divide both sides of equation (4) by 39, get the equation:, then add the two sides of equation (14) to both sides of equation (3), get the equation:
The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
Therefore, the solution of the equation set is:
Convert the solution of the equation set to decimals:
解方程组的详细方法请参阅:《多元一次方程组的解法》 |