有限数学 示例

使用增广矩阵求解 5x-5y+2z=-13 , 10x-10y+4z=-23 , 15x-15y+6z=-37
, ,
解题步骤 1
Write the system as a matrix.
解题步骤 2
求行简化阶梯形矩阵。
点击获取更多步骤...
解题步骤 2.1
Multiply each element of by to make the entry at a .
点击获取更多步骤...
解题步骤 2.1.1
Multiply each element of by to make the entry at a .
解题步骤 2.1.2
化简
解题步骤 2.2
Perform the row operation to make the entry at a .
点击获取更多步骤...
解题步骤 2.2.1
Perform the row operation to make the entry at a .
解题步骤 2.2.2
化简
解题步骤 2.3
Perform the row operation to make the entry at a .
点击获取更多步骤...
解题步骤 2.3.1
Perform the row operation to make the entry at a .
解题步骤 2.3.2
化简
解题步骤 2.4
Multiply each element of by to make the entry at a .
点击获取更多步骤...
解题步骤 2.4.1
Multiply each element of by to make the entry at a .
解题步骤 2.4.2
化简
解题步骤 2.5
Perform the row operation to make the entry at a .
点击获取更多步骤...
解题步骤 2.5.1
Perform the row operation to make the entry at a .
解题步骤 2.5.2
化简
解题步骤 2.6
Perform the row operation to make the entry at a .
点击获取更多步骤...
解题步骤 2.6.1
Perform the row operation to make the entry at a .
解题步骤 2.6.2
化简
解题步骤 3
Use the result matrix to declare the final solution to the system of equations.
解题步骤 4
The solution is the set of ordered pairs that make the system true.