detailed information: The input equation set is:
| | | | -3 | A | + | | 7 | B | + | | 6 | C | | -1 | D | = | | 0 | | (2) |
| | | Question solving process:
Divide the two sides of equation (1) by 2, the equation can be obtained: , then add the two sides of equation (5) to both sides of equation (2), the equations are reduced to:
Divide the two sides of equation (1) by 6, the equation can be obtained: , then subtract both sides of equation (6) from both sides of equation (4), the equations are reduced to:
Multiply both sides of equation (2) by 16 Divide the two sides of equation (2) by 15, the equation can be obtained: , then subtract both sides of equation (7) from both sides of equation (3), the equations are reduced to:
Divide the two sides of equation (2) by 9, the equation can be obtained: , then subtract both sides of equation (8) from both sides of equation (4), the equations are reduced to:
Multiply both sides of equation (3) by 5 Divide the two sides of equation (3) by 21, the equation can be obtained: , then add the two sides of equation (9) to both sides of equation (4), the equations are reduced to:
Multiply both sides of equation (4) by 63 Divide both sides of equation (4) by 50, get the equation:, then subtract both sides of equation (10) from both sides of equation (3), get the equation:
Multiply both sides of equation (4) by 63 Divide both sides of equation (4) by 20, get the equation:, then add the two sides of equation (11) to both sides of equation (2), get the equation:
Multiply both sides of equation (4) by 21 Divide both sides of equation (4) by 10, get the equation:, then add the two sides of equation (12) to both sides of equation (1), get the equation:
Multiply both sides of equation (3) by 30 Divide both sides of equation (3) by 7, get the equation:, then add the two sides of equation (13) to both sides of equation (2), get the equation:
Multiply both sides of equation (2) by 2 Divide both sides of equation (2) by 15, get the equation:, then subtract both sides of equation (14) 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》 |