detailed information: The input equation set is: Question solving process:
Divide the two sides of equation (1) by 5, the equation can be obtained: , then subtract both sides of equation (7) from both sides of equation (6), the equations are reduced to:
| | | | | | | | -1 | B | | - | 7 5 | C | | - | 3 5 | F | = | | - | 16 5 | | (6) |
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Subtract both sides of equation (2) from both sides of equation (4) ,the equations are reduced to:
| | | | | | | | -1 | B | | - | 7 5 | C | | - | 3 5 | F | = | | - | 16 5 | | (6) |
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Add both sides of equation (2) to both sides of equation (6) ,the equations are reduced to:
交After the exchange of equation (3) and equation (4), the equation system becomes:
Subtract both sides of equation (3) from both sides of equation (5) ,the equations are reduced to:
Multiply both sides of equation (3) by 12 Divide the two sides of equation (3) by 5, the equation can be obtained: | | | 12 5 | C | | - | 12 5 | D | | - | 12 5 | E | = | | 0 | (8) | , then add the two sides of equation (8) to both sides of equation (6), the equations are reduced to:
| | | | | | | | - | 12 5 | D | | - | 12 5 | E | | - | 3 5 | F | = | | - | 16 5 | | (6) |
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交After the exchange of equation (4) and equation (5), the equation system becomes:
| | | | | | | | - | 12 5 | D | | - | 12 5 | E | | - | 3 5 | F | = | | - | 16 5 | | (6) |
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Multiply both sides of equation (4) by 6 Divide the two sides of equation (4) by 5, the equation can be obtained: , then add the two sides of equation (9) to both sides of equation (6), the equations are reduced to:
Divide the two sides of equation (5) by 5, the equation can be obtained: , then add the two sides of equation (10) to both sides of equation (6), the equations are reduced to:
Multiply both sides of equation (6) by 5 Divide both sides of equation (6) by 4, get the equation:, then subtract both sides of equation (11) from both sides of equation (5), get the equation:
Multiply both sides of equation (6) by 5 Divide both sides of equation (6) by 12, get the equation:, then subtract both sides of equation (12) from both sides of equation (4), get the equation:
Multiply both sides of equation (6) by 5 Divide both sides of equation (6) by 4, get the equation:, then add the two sides of equation (13) to both sides of equation (1), get the equation:
Divide both sides of equation (5) by 6, get the equation:, then subtract both sides of equation (14) from both sides of equation (4), get the equation:
Divide both sides of equation (5) by 6, get the equation:, then add the two sides of equation (15) to both sides of equation (3), get the equation:
Divide both sides of equation (4) by 2, get the equation:, then add the two sides of equation (16) to both sides of equation (3), get the equation:
Add both sides of equation (3) to both sides of equation (2), get the equation:
Multiply both sides of equation (3) by 2, get the equation:, then subtract both sides of equation (17) from both sides of equation (1), 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》 |