detailed information: The input equation set is: Question solving process:
Subtract both sides of equation (1) from both sides of equation (2) ,the equations are reduced to:
Multiply both sides of equation (1) by 30, 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 (1) by 20, the equation can be obtained: , then add the two sides of equation (8) to both sides of equation (5), the equations are reduced to:
Multiply both sides of equation (2) by 35, the equation can be obtained: | -35 | B | | -35 | C | + | | 35 | D | + | | 35 | E | = | | 0 | (9) | , then subtract both sides of equation (9) from both sides of equation (4), the equations are reduced to:
Multiply both sides of equation (2) by 20, the equation can be obtained: | -20 | B | | -20 | C | + | | 20 | D | + | | 20 | E | = | | 0 | (10) | , then add the two sides of equation (10) to both sides of equation (5), the equations are reduced to:
Multiply both sides of equation (3) by 5, the equation can be obtained: , then add the two sides of equation (11) to both sides of equation (4), the equations are reduced to:
Divide the two sides of equation (4) by 2, the equation can be obtained: , then add the two sides of equation (12) to both sides of equation (5), the equations are reduced to:
Divide the two sides of equation (4) by 8, the equation can be obtained: , then add the two sides of equation (13) to both sides of equation (6), the equations are reduced to:
Multiply both sides of equation (5) by 19 Divide the two sides of equation (5) by 20, the equation can be obtained: , then add the two sides of equation (14) to both sides of equation (6), the equations are reduced to:
Multiply both sides of equation (5) by 6 Divide both sides of equation (5) by 5, get the equation:, then add the two sides of equation (15) to both sides of equation (4), get the equation:
Divide both sides of equation (5) by 25, get the equation:, then subtract both sides of equation (16) from both sides of equation (3), get the equation:
Divide both sides of equation (5) by 25, get the equation:, then subtract both sides of equation (17) from both sides of equation (2), get the equation:
Divide both sides of equation (4) by 40, get the equation:, then add the two sides of equation (18) to both sides of equation (2), get the equation:
Subtract both sides of equation (3) from both sides of equation (2), get the equation:
Add both sides of equation (3) to both sides of equation (1), get the equation:
Add both sides of equation (2) 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》 |