detailed information: The input equation set is: Question solving process:
Multiply both sides of equation (1) by 4 Divide the two sides of equation (1) by 7, the equation can be obtained: , then subtract both sides of equation (4) from both sides of equation (2), the equations are reduced to:
Divide the two sides of equation (1) by 7, the equation can be obtained: , then subtract both sides of equation (5) from both sides of equation (3), the equations are reduced to:
Multiply both sides of equation (2) by 11 Divide the two sides of equation (2) by 5, the equation can be obtained: | - | 33 7 | y | + | | | 484 35 | z | = | | | 33 35 | (6) | , then add the two sides of equation (6) to both sides of equation (3), the equations are reduced to:
Multiply both sides of equation (3) by 220 Divide both sides of equation (3) by 469, get the equation:, then subtract both sides of equation (7) from both sides of equation (2), get the equation:
Multiply both sides of equation (3) by 15 Divide both sides of equation (3) by 67, get the equation:, then subtract both sides of equation (8) from both sides of equation (1), get the equation:
Multiply both sides of equation (2) by 14 Divide both sides of equation (2) by 15, get the equation:, then add the two sides of equation (9) 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》 |