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Systems of two linear equations in two variables SAT question

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

{y = - 3 x 4 x + y = 15

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

ExplanationShow

Choice C is correct. The given system of linear equations can be solved by the substitution method. Substituting $- 3 x$ for $y$ from the first equation in the given system into the second equation yields $4 x + (- 3 x) = 15$ , or $x = 15$ .

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect. This is the absolute value of $y$ , not the value of $x$ .

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