detailed information: The input equation set is: Question solving process:
Add both sides of equation (1) to both sides of equation (2) ,the equations are reduced to:
Multiply both sides of equation (1) by 30, the equation can be obtained: , then add the two sides of equation (6) to both sides of equation (3), the equations are reduced to:
Multiply both sides of equation (2) by 75 Divide the two sides of equation (2) by 2, the equation can be obtained: | | 75 | B | + | | | 75 2 | C | + | | | 75 2 | D | = | | | 225 2 | (7) | , then subtract both sides of equation (7) from both sides of equation (3), the equations are reduced to:
| | | | | - | 85 2 | C | | - | 75 2 | D | = | | - | 15 2 | | (3) |
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Divide the two sides of equation (2) by 2, the equation can be obtained: , then subtract both sides of equation (8) from both sides of equation (4), the equations are reduced to:
| | | | | - | 85 2 | C | | - | 75 2 | D | = | | - | 15 2 | | (3) |
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Divide the two sides of equation (3) by 85, the equation can be obtained: | - | 1 2 | C | | - | 15 34 | D | = | | - | 3 34 | (9) | , then add the two sides of equation (9) to both sides of equation (4), the equations are reduced to:
| | | | | - | 85 2 | C | | - | 75 2 | D | = | | - | 15 2 | | (3) |
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Multiply both sides of equation (3) by 2 Divide the two sides of equation (3) by 17, the equation can be obtained: | -5 | C | | - | 75 17 | D | = | | - | 15 17 | (10) | , then add the two sides of equation (10) to both sides of equation (5), the equations are reduced to:
| | | | | - | 85 2 | C | | - | 75 2 | D | = | | - | 15 2 | | (3) |
| | - | 245 17 | D | + | | 5 | E | = | | - | 270 17 | | (5) |
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Multiply both sides of equation (4) by 245 Divide the two sides of equation (4) by 16, the equation can be obtained: | - | 245 17 | D | | - | 245 16 | E | = | | - | 6615 272 | (11) | , then subtract both sides of equation (11) from both sides of equation (5), the equations are reduced to:
| | | | | - | 85 2 | C | | - | 75 2 | D | = | | - | 15 2 | | (3) |
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Multiply both sides of equation (5) by 16 Divide both sides of equation (5) by 325, get the equation:, then add the two sides of equation (12) to both sides of equation (4), get the equation:
| | | | | - | 85 2 | C | | - | 75 2 | D | = | | - | 15 2 | | (3) |
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Multiply both sides of equation (4) by 1275 Divide both sides of equation (4) by 32, get the equation:, then subtract both sides of equation (13) from both sides of equation (3), get the equation:
Multiply both sides of equation (4) by 17 Divide both sides of equation (4) by 16, get the equation:, then add the two sides of equation (14) to both sides of equation (2), get the equation:
Multiply both sides of equation (3) by 2 Divide both sides of equation (3) by 85, get the equation:, then add the two sides of equation (15) to both sides of equation (2), get the equation:
Subtract both sides of equation (2) 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》 |