SAT Systems of two linear equations in two variables Practice Question 9 (Medium)

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Question bank / Systems of two linear equations in two variables

Math · AlgebraMedium

$5x + 2y = 31$
$3x - 2y = 9$
If $(x, y)$ is the solution to the system of equations, what is the value of $xy$ ?

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Answer: 15

Add the equations: $8x = 40$ , so $x = 5$ . Substitute: $25 + 2y = 31$ , so $y = 3$ . Then $xy = 15$ .

Giving $x + y = 8$ answers a different question.

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