QQuestionMathematics
QuestionMathematics
"Is (4, 8) a solution to this system of equations?
17x−4y= 15
15x−7y= 4"
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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 (4, 8) into both equations
Let $$x = 4$$ and $$y = 8
Step 3:: Check the first equation 17x - 4y = 15
36 \neq 15
68 - 32 = 15
Step 4:: Check the second equation 15x - 7y = 4
4 = 4
60 - 56 = 4
Step 5:: Analyze the results
The point (4, 8) satisfies the second equation, but does NOT satisfy the first equation.
Final Answer
No, (4, 8) is NOT a solution to this system of equations because it does not simultaneously satisfy both equations.
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