detailed information: The input equation set is: Question solving process:
Divide the two sides of equation (1) by 4, the equation can be obtained: | | | 1 4 | x | + | | | 1 4 | y | + | | | 1 4 | z | = | | | 25 2 | (4) | , then subtract both sides of equation (4) from both sides of equation (2), the equations are reduced to:
交After the exchange of equation (2) and equation (3), the equation system becomes:
Multiply both sides of equation (3) by 4, get the equation:, then add the two sides of equation (5) to both sides of equation (2), get the equation:
Multiply both sides of equation (3) by 4, get the equation:, then add the two sides of equation (6) to both sides of equation (1), 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:
解方程组的详细方法请参阅:《多元一次方程组的解法》 |