detailed information: The input equation set is: Question solving process:
Multiply both sides of equation (1) by 18, the equation can be obtained: , then subtract both sides of equation (6) from both sides of equation (3), the equations are reduced to:
交After the exchange of equation (2) and equation (3), the equation system becomes:
Divide the two sides of equation (2) by 10, the equation can be obtained: , then add the two sides of equation (7) to both sides of equation (4), the equations are reduced to:
Multiply both sides of equation (3) by 19 Divide the two sides of equation (3) by 5, the equation can be obtained: | | | 19 5 | C | + | | | 19 5 | D | + | | | 19 5 | E | = | | 0 | (8) | , then subtract both sides of equation (8) from both sides of equation (4), the equations are reduced to:
Multiply both sides of equation (4) by 5 Divide the two sides of equation (4) by 13, the equation can be obtained: , then add the two sides of equation (9) to both sides of equation (5), the equations are reduced to:
Multiply both sides of equation (5) by 247 Divide both sides of equation (5) by 160, get the equation:, then subtract both sides of equation (10) from both sides of equation (4), get the equation:
Multiply both sides of equation (5) by 13 Divide both sides of equation (5) by 32, get the equation:, then add the two sides of equation (11) to both sides of equation (3), get the equation:
Multiply both sides of equation (4) by 5 Divide both sides of equation (4) by 39, get the equation:, then add the two sides of equation (12) to both sides of equation (3), get the equation:
Multiply both sides of equation (3) by 18, get the equation:, then subtract both sides of equation (13) from both sides of equation (2), get the equation:
Add both sides of equation (3) to both sides of equation (1), get the equation:
Divide both sides of equation (2) by 20, 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》 |