Select the correct answer. What is the solution set of 4x = y and 2x2 − y = 0? {(0.5, -0.5), (2, -8)} {(0, 0), (2, 8)} {(1.5, 2), (8, 2)} {(-1.5, -2), (2, 8)}

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14-06-2018
Mathematics

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Select the correct answer. What is the solution set of 4x = y and 2x2 − y = 0? {(0.5, -0.5), (2, -8)} {(0, 0), (2, 8)} {(1.5, 2), (8, 2)} {(-1.5, -2), (2, 8)}

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gmany gmany · Answer 1 · 2018-06-16T00:07:16+02:00

gmany gmany

16-06-2018

[tex]\left\{\begin{array}{ccc}4x=y&(1)\\2x^2-y=0&(2)\end{array}\right\\\\/\text{substitute (1) to (2)/}\\\\2x^2-4x=0\\2x(x-2)=0\iff 2x=0\ \vee x-2=0\\\\x=0\ \vee\ x=2\\\\for\ x=0\to y=4\cdot0=0\\for\ x=2\to y=4\cdot2=8\\\\(0;\ 0);\ (2;\ 8)\\\\Answer:\ \{(0;\ 0);\ (2;\ 8)\}[/tex]

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goldiebird0 goldiebird0 · Answer 2 · 2022-03-17T23:11:23+01:00

goldiebird0 goldiebird0

17-03-2022

Answer:

The answer is ( 0, 0 ) and ( 2, 8 )

Step-by-step explanation:

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