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Systems of two linear equations in two variables SAT question

Math · Algebra · Easy · Answer it here, explanation included.

{4 x = 20 - 3 x + y = - 7

The solution to the given system of equations is $(x, y)$ . What is the value of $x + y$ ?

ExplanationShow

Choice C is correct. It's given that $4 x = 20$ and $- 3 x + y = - 7$ is a system of equations with a solution $(x, y)$ . Adding the second equation in the given system to the first equation yields $4 x + (- 3 x + y) = 20 + (- 7)$ , which is equivalent to $x + y = 13$ . Thus, the value of $x + y$ is $13$ .

Choice A is incorrect. This represents the value of $- 2 (x + y) - 1$ .

Choice B is incorrect. This represents the value of $- (x + y)$ .

Choice D is incorrect. This represents the value of $2 (x + y) + 1$ .

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Systems of two linear equations in two variables SAT question

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