SAT Systems of two linear equations in two variables Practice Question 7 (Medium)

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Question bank / Systems of two linear equations in two variables

Math · AlgebraMedium

$4x - y = 10$
$2x + 3y = 26$
If $(x, y)$ is the solution to the system of equations, what is the value of $x + y$ ?

$4$

$6$

$10$

$18$

Show answer and explanation

Answer: C

From the first equation, $y = 4x - 10$ . Substitute: $2x + 3(4x - 10) = 26$ , so $14x - 30 = 26$ and $x = 4$ . Then $y = 6$ , and $x + y = 10$ .

Choice A is only the value of $x$ .

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