SOLUTION: regla de cramer 𝑥 + 𝑦 + 𝑧 − 𝑤 = 2 2𝑥 − 𝑦 +𝑧 +5𝑤 = 9 3𝑥 + 𝑦 +𝑧 −2&#1199

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Question 1081779: regla de cramer
𝑥 + 𝑦 + 𝑧 − 𝑤 = 2
2𝑥 − 𝑦 +𝑧 +5𝑤 = 9
3𝑥 + 𝑦 +𝑧 −2𝑤 = 1
2𝑥 + 2𝑦 +4𝑧 + 6𝑤 = 2
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52847) About Me  (Show Source):
You can put this solution on YOUR website!
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Find an appropriate free of charge solver in the Internet.

It is a kind of torture to solve it "by hands".



Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Your matrix:

Write down the main matrix and find its determinant
matrix%284%2C4%2C1%2C1%2C1%2C-1%2C2%2C-1%2C1%2C5%2C+3%2C1%2C1%2C-2%2C2%2C2%2C4%2C6%29
D+=+10
Replace the 1st column of the main matrix with the solution vector and find its determinant:
matrix%284%2C4%2C2%2C1%2C1%2C-1%2C9%2C-1%2C1%2C5%2C1%2C1%2C1%2C-2%2C2%2C2%2C4%2C6%29
D%5B1%5D+=+-34
Replace the 2nd column of the main matrix with the solution vector and find its determinant:
matrix%284%2C4%2C1%2C2%2C1%2C-1%2C2%2C9%2C1%2C5%2C3%2C1%2C1%2C-2%2C2%2C2%2C4%2C6%29

D%5B2%5D+=+-226

Replace the 3rd column of the main matrix with the solution vector and find its determinant:
matrix%284%2C4%2C+1%2C1%2C2%2C-1%2C2%2C-1%2C9%2C5%2C3%2C1%2C1%2C-2%2C2%2C2%2C2%2C6%29

D%5B3%5D+=+222

Replace the 4th column of the main matrix with the solution vector and find its determinant:
matrix%284%2C4%2C+1%2C1%2C1%2C2%2C2%2C-1%2C1%2C9%2C3%2C1%2C1%2C1%2C2%2C2%2C4%2C2%29
D%5B4%5D+=+-58

x%5B1%5D+=+D%5B1%5D+%2F+D+=+%28-34%29+%2F+10+=+-17%2F5
x%5B2+%5D=+D%5B2%5D+%2F+D+=+%28-226%29+%2F+10+=+-113%2F5
x%5B3%5D+=+D%5B3%5D+%2F+D+=+222+%2F+10+=+111%2F5
x%5B4%5D+=+D%5B4%5D+%2F+D+=+%28-58%29+%2F+10+=+-29%2F5