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Jane and Maverick are solving the same system of equations. ) y-3x=9 y=2x^2-4x+12 Jane found the solution to be (2,18) and Maverick believes the solution is (0.5,10.5) . Who is correct? A Maverick is correct. B Jane is correct. C Both Maverick and Jane are correct. D Neither Maverick nor Jane are correct.

Pergunta

Jane and Maverick are solving the same system of equations.
 ) y-3x=9 y=2x^2-4x+12 
Jane found the solution to be (2,18) and Maverick believes the solution is (0.5,10.5) . Who is correct?
A Maverick is correct.
B Jane is correct.
C Both Maverick and Jane are correct.
D Neither Maverick nor Jane are correct.

Jane and Maverick are solving the same system of equations. ) y-3x=9 y=2x^2-4x+12 Jane found the solution to be (2,18) and Maverick believes the solution is (0.5,10.5) . Who is correct? A Maverick is correct. B Jane is correct. C Both Maverick and Jane are correct. D Neither Maverick nor Jane are correct.

Solução

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SarahElite · Tutor por 8 anos

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To determine who is correct, we need to substitute the given coordinates into both equations and see if they satisfy the equations.<br /><br />Let's start with Jane's solution $(2,18)$:<br /><br />Substituting $x=2$ and $y=18$ into the first equation:<br />$18-3(2)=9$<br />$18-6=9$<br />$12=9$<br /><br />This is not true, so Jane's solution is incorrect.<br /><br />Now let's try Maverick's solution $(0.5,10.5)$:<br /><br />Substituting $x=0.5$ and $y=10.5$ into the first equation:<br />$10.5-3(0.5)=9$<br />$10.5-1.5=9$<br />$9=9$<br /><br />This is true. Now let's substitute $x=0.5$ and $y=10.5$ into the second equation:<br />$10.5=2(0.5)^2-4(0.5)+12$<br />$10.5=2(0.25)-2+12$<br />$10.5=0.5-2+12$<br />$10.5=10.5$<br /><br />This is also true, so Maverick's solution is correct.<br /><br />Therefore, the correct answer is A) Maverick is correct.
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