QQuestionMathematics
QuestionMathematics
Is (5, 6) a solution to this system of equations?
20x−16y= 4
6x+ 19y=−5
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Answer
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Step 1:I'll solve this step by step, carefully following the LaTeX formatting guidelines:
Step 2:: Substitute the point (5, 6) into both equations
Let $$x = 5$$ and $$y = 6
Step 3:: Check the first equation 20x - 16y = 4
4 = 4$$ ✓ (This equation is satisfied)
100 - 96 = 4
Step 4:: Check the second equation 6x + 19y = - 5
144 \neq -5$$ ✗ (This equation is NOT satisfied)
30 + 114 = - 5
Step 5:: Conclusion
Since the point (5, 6) does NOT satisfy both equations simultaneously, it is NOT a solution to the system of equations.
Final Answer
No, (5, 6) is not a solution to the given system of equations.
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