Nonlinear equations in one variable and systems of equations in two variables

Medium Math · Advanced Math · Nonlinear equations in one variable and systems of equations in two variables · MCQ

$y equals x squared$

$2 y plus 6, equals, 2 times, open parenthesis, x plus 3, close parenthesis$

If (x, y) is a solution of the system of equations above and x > 0, what is the value of xy ?

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id cb_question_bank:c55b23b0-1cb1-4637-a1c6-e710dc6d07b0 · question 876a731c · IBN 05314-DC · JSON

$2 x squared, plus 6, equals, 2 x plus 6$	Apply the distributive property.
$2 x squared, plus 6, minus 2 x, minus 6, equals 0$	Subtract 2x and 6 from both sides of the equation.
$2 x squared, minus 2 x, equals 0$	Combine like terms.
$2 x times, open parenthesis, x minus 1, close parenthesis, equals 0$	Factor both terms on the left side of the equation by 2x.