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有限数学 示例
, ,
解题步骤 1
解题步骤 1.1
将所有不包含变量的项移到等式右边。
解题步骤 1.1.1
在等式两边都加上 。
解题步骤 1.1.2
将 和 相加。
解题步骤 1.2
将所有不包含变量的项移到等式右边。
解题步骤 1.2.1
从等式两边同时减去 。
解题步骤 1.2.2
从 中减去 。
解题步骤 2
Write the system as a matrix.
解题步骤 3
解题步骤 3.1
Swap with to put a nonzero entry at .
解题步骤 3.2
Multiply each element of by to make the entry at a .
解题步骤 3.2.1
Multiply each element of by to make the entry at a .
解题步骤 3.2.2
化简 。
解题步骤 3.3
Perform the row operation to make the entry at a .
解题步骤 3.3.1
Perform the row operation to make the entry at a .
解题步骤 3.3.2
化简 。
解题步骤 3.4
Multiply each element of by to make the entry at a .
解题步骤 3.4.1
Multiply each element of by to make the entry at a .
解题步骤 3.4.2
化简 。
解题步骤 3.5
Perform the row operation to make the entry at a .
解题步骤 3.5.1
Perform the row operation to make the entry at a .
解题步骤 3.5.2
化简 。
解题步骤 3.6
Multiply each element of by to make the entry at a .
解题步骤 3.6.1
Multiply each element of by to make the entry at a .
解题步骤 3.6.2
化简 。
解题步骤 3.7
Perform the row operation to make the entry at a .
解题步骤 3.7.1
Perform the row operation to make the entry at a .
解题步骤 3.7.2
化简 。
解题步骤 3.8
Perform the row operation to make the entry at a .
解题步骤 3.8.1
Perform the row operation to make the entry at a .
解题步骤 3.8.2
化简 。
解题步骤 3.9
Perform the row operation to make the entry at a .
解题步骤 3.9.1
Perform the row operation to make the entry at a .
解题步骤 3.9.2
化简 。
解题步骤 4
Use the result matrix to declare the final solution to the system of equations.
解题步骤 5
The solution is the set of ordered pairs that make the system true.