x + y = 18 5 y = x What is the solution ( x , y ) to the given system of equations?

The correct answer is A. Choice A is correct. The second equation in the given system defines the value of x as 5 y . Substituting 5 y for x into the first equation yields 5 y + y = 18 or 6 y = 18 . Dividing each side of this equation by 6 yields y = 3 . Substituting 3 for y in the second equation yields 5 ( 3 ) = x or x = 15 . Therefore, the solution ( x , y ) to the given system of equations is ( 15 , 3 ) .

SAT Question 317e80f9: Answer, Explanation & Desmos Solution

Choice B

Choice B is incorrect. Substituting $16$ for $x$ and $2$ for $y$ in the second equation yields $5 (2) = 16$ , which is not true. Therefore, $(16, 2)$ is not a solution to the given system of equations.

Choice C

Choice C is incorrect. Substituting $17$ for $x$ and $1$ for $y$ in the second equation yields $5 (1) = 17$ , which is not true. Therefore, $(17, 1)$ is not a solution to the given system of equations.

Choice D

Choice D is incorrect. Substituting $18$ for $x$ and $0$ for $y$ in the second equation yields $5 (0) = 18$ , which is not true. Therefore, $(18, 0)$ is not a solution to the given system of equations.

Explanation

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Why the other choices are wrong

SAT Question 317e80f9: Systems of Linear Equations answer and explanation with Desmos solution

Explanation

Enter in Desmos:

Why the other choices are wrong