x + 3y = 19 x - y = 3 If (x, y) is the solution to the system... | SAT Systems of two linear equations in two variables Question, Answer Explained

Math · AlgebraEasy

$x + 3y = 19$
$x - y = 3$
If $(x, y)$ is the solution to the system of equations, what is the value of $y$ ?

Student-produced response: enter your answer.

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Answer: 4

Subtract the second equation from the first: $(x + 3y) - (x - y) = 19 - 3$ , so $4y = 16$ and $y = 4$ . Then $x = 3 + 4 = 7$ .

Subtracting $-y$ as if it were $+y$ gives $2y = 16$ and $y = 8$ .

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