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In Mathematics / High School | 2014-11-13

Please solve this 3-variable system of equations:

\[
\begin{align*}
2g + 3h - 8j &= 10 \\
g - 4h &= 1 \\
-2g - 3h + 8j &= 5 \\
\end{align*}
\]

Asked by lillymeier7

Answer (2)

Not solvable. If you take the first and last equations together, then multiply the last by -1 you get 2g+3h-8j=10 2g+3h-8j=-5 Resulting in 10=-5, which is false, so there is no solution

Answered by FirstSineOfMadness | 2024-06-10

The system of equations is inconsistent, leading to a contradiction when trying to solve it. Therefore, there is no solution to the given set of equations. Specifically, the relationship derived from the second equation conflicts with those from the first and third equations, resulting in an impossibility.
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Answered by FirstSineOfMadness | 2024-12-21