detailed information: The input equation set is: Question solving process:
Divide the two sides of equation (1) by 4, the equation can be obtained: , then subtract both sides of equation (5) from both sides of equation (2), the equations are reduced to:
Multiply both sides of equation (1) by 2 Divide the two sides of equation (1) by 3, the equation can be obtained: , then add the two sides of equation (6) to both sides of equation (3), the equations are reduced to:
Divide the two sides of equation (1) by 12, the equation can be obtained: , then subtract both sides of equation (7) from both sides of equation (4), the equations are reduced to:
Multiply both sides of equation (2) by 4 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 (3), the equations are reduced to:
Multiply both sides of equation (2) by 4 Divide the two sides of equation (2) by 9, the equation can be obtained: , then subtract both sides of equation (9) from both sides of equation (4), the equations are reduced to:
Multiply both sides of equation (3) by 7 Divide the two sides of equation (3) by 20, the equation can be obtained: | - | 7 12 | C | + | | | 7 20 | D | = | | | 21 20 | (10) | , then add the two sides of equation (10) to both sides of equation (4), the equations are reduced to:
Multiply both sides of equation (4) by 20 Divide both sides of equation (4) by 27, get the equation:, then subtract both sides of equation (11) from both sides of equation (3), get the equation:
Multiply both sides of equation (3) by 9 Divide both sides of equation (3) by 20, get the equation:, then add the two sides of equation (12) to both sides of equation (2), get the equation:
Multiply both sides of equation (3) by 3 Divide both sides of equation (3) by 5, get the equation:, then add the two sides of equation (13) to both sides of equation (1), get the equation:
Multiply both sides of equation (2) by 4 Divide both sides of equation (2) by 3, get the equation:, then add the two sides of equation (14) 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》 |