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 (3), the equations are reduced to:
| | | | | - | 2 5 | C | + | | 6 | E | | - | 18 5 | F | = | | - | 16 5 | | (3) |
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Divide the two sides of equation (1) by 5, the equation can be obtained: , then subtract both sides of equation (8) from both sides of equation (6), the equations are reduced to:
| | | | | - | 2 5 | C | + | | 6 | E | | - | 18 5 | F | = | | - | 16 5 | | (3) |
| | | -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:
| | | | | - | 2 5 | C | + | | 6 | E | | - | 18 5 | F | = | | - | 16 5 | | (3) |
| | | -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:
| | | | | - | 2 5 | C | + | | 6 | E | | - | 18 5 | F | = | | - | 16 5 | | (3) |
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Multiply both sides of equation (3) by 5 Divide the two sides of equation (3) by 2, the equation can be obtained: , then add the two sides of equation (9) to both sides of equation (4), the equations are reduced to:
| | | | | - | 2 5 | C | + | | 6 | E | | - | 18 5 | F | = | | - | 16 5 | | (3) |
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Multiply both sides of equation (3) by 5 Divide the two sides of equation (3) by 2, the equation can be obtained: , then add the two sides of equation (10) to both sides of equation (5), the equations are reduced to:
| | | | | - | 2 5 | C | + | | 6 | E | | - | 18 5 | F | = | | - | 16 5 | | (3) |
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Multiply both sides of equation (3) by 6, the equation can be obtained: | - | 12 5 | C | + | | 36 | E | | - | 108 5 | F | = | | - | 96 5 | (11) | , then subtract both sides of equation (11) from both sides of equation (6), the equations are reduced to:
| | | | | - | 2 5 | C | + | | 6 | E | | - | 18 5 | F | = | | - | 16 5 | | (3) |
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Add both sides of equation (4) to both sides of equation (5) ,the equations are reduced to:
| | | | | - | 2 5 | C | + | | 6 | E | | - | 18 5 | F | = | | - | 16 5 | | (3) |
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Multiply both sides of equation (5) by 36 Divide the two sides of equation (5) by 29, the equation can be obtained: | | 36 | E | | - | 684 29 | F | = | | - | 576 29 | (12) | , then add the two sides of equation (12) to both sides of equation (6), the equations are reduced to:
| | | | | - | 2 5 | C | + | | 6 | E | | - | 18 5 | F | = | | - | 16 5 | | (3) |
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Multiply both sides of equation (6) by 551 Divide both sides of equation (6) by 75, get the equation:, then subtract both sides of equation (13) from both sides of equation (5), get the equation:
| | | | | - | 2 5 | C | + | | 6 | E | | - | 18 5 | F | = | | - | 16 5 | | (3) |
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Multiply both sides of equation (6) by 87 Divide both sides of equation (6) by 25, get the equation:, then subtract both sides of equation (14) from both sides of equation (4), get the equation:
| | | | | - | 2 5 | C | + | | 6 | E | | - | 18 5 | F | = | | - | 16 5 | | (3) |
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Multiply both sides of equation (6) by 174 Divide both sides of equation (6) by 125, get the equation:, then subtract both sides of equation (15) from both sides of equation (3), get the equation:
Multiply both sides of equation (6) by 29 Divide both sides of equation (6) by 25, get the equation:, then add the two sides of equation (16) to both sides of equation (1), get the equation:
Multiply both sides of equation (5) by 14 Divide both sides of equation (5) by 29, get the equation:, then subtract both sides of equation (17) from both sides of equation (4), get the equation:
Multiply both sides of equation (5) by 6 Divide both sides of equation (5) by 29, get the equation:, then subtract both sides of equation (18) from both sides of equation (3), get the equation:
Multiply both sides of equation (3) by 5 Divide both sides of equation (3) by 2, get the equation:, then subtract both sides of equation (19) from both sides of equation (2), get the equation:
Multiply both sides of equation (3) by 5, get the equation:, then add the two sides of equation (20) to 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》 |