detailed information: The input equation set is:
| | | | | | | | 36 | A | | -12 | B | + | | 6 | C | | -10 | D | = | | 0 | | (5) |
| Question solving process:
Add both sides of equation (1) to both sides of equation (3) ,the equations are reduced to:
| | | | | | | | 36 | A | | -12 | B | + | | 6 | C | | -10 | D | = | | 0 | | (5) |
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Multiply both sides of equation (1) by 36, the equation can be obtained: , then subtract both sides of equation (6) from both sides of equation (5), the equations are reduced to:
交After the exchange of equation (2) and equation (3), the equation system becomes:
Subtract both sides of equation (2) from both sides of equation (4) ,the equations are reduced to:
Multiply both sides of equation (2) by 48, the equation can be obtained: , then add the two sides of equation (7) to both sides of equation (5), the equations are reduced to:
Add both sides of equation (3) to both sides of equation (4) ,the equations are reduced to:
Multiply both sides of equation (3) by 54, the equation can be obtained: , then subtract both sides of equation (8) from both sides of equation (5), the equations are reduced to:
交After the exchange of equation (4) and equation (5), the equation system becomes:
Divide both sides of equation (4) by 64, get the equation:, then add the two sides of equation (9) to both sides of equation (3), get the equation:
Subtract both sides of equation (3) from 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:
Where: E are arbitrary constants. 解方程组的详细方法请参阅:《多元一次方程组的解法》 |