Question #4ec95eab - SAT Suite Question Bank

ID: 4ec95eab

Modded SAT Question Bank by Abdullah Mallik

$y = - 3 x$

$4 x + y = 15$

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

$1$
$5$
$15$
$45$

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Correct Answer: C

Rationale

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

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 $x$ .

Question Difficulty: Easy