y = 2x - 1 y = x + 4 If (x, y) is the solution to the system... | SAT Systems of two linear equations in two variables Question, Answer Explained

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Question bank / Systems of two linear equations in two variables

Math · AlgebraEasy

$y = 2x - 1$
$y = x + 4$
If $(x, y)$ is the solution to the system of equations, what is the value of $x$ ?

$3$

$5$

$9$

$14$

Show answer and explanation

Answer: B

Both expressions equal $y$ , so set them equal: $2x - 1 = x + 4$ . Subtract $x$ from both sides and add $1$ to both sides: $x = 5$ . Then $y = 5 + 4 = 9$ .

Choice C is the value of $y$ , not $x$ .

Why the other choices are wrong

A. This subtracts 1 from 4 instead of adding 1 to both sides. From 2x - 1 = x + 4, x = 5.
C. 9 is the value of y in the solution, not x.
D. 14 is x + y, the sum of the two coordinates.

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