SAT Systems of two linear equations in two variables Practice Question 3 (Easy)

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Question bank / Systems of two linear equations in two variables

Math · AlgebraEasy

What is the solution $(x, y)$ to the system $y = x + 2$ and $y = -2x + 11$ ?

$(3, 5)$

$(5, 3)$

$(2, 4)$

$(9, 11)$

Show answer and explanation

Answer: A

Set the expressions for $y$ equal: $x + 2 = -2x + 11$ . Then $3x = 9$ , so $x = 3$ , and $y = 3 + 2 = 5$ .

Choice B reverses the coordinates; $(5, 3)$ does not satisfy $y = x + 2$ .

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