what is the value of the expression below.

$\frac{2x-5y}{|x+y|}$ ; $x = -3$ and $y = -4$

$\bigcirc$ 2

$\bigcirc$ -2

$\bigcirc$ -19

$\bigcirc$ 20

$\bigcirc$ -20

Question

what is the value of the expression below.

$\frac{2x-5y}{|x+y|}$ ; $x = -3$ and $y = -4$

$\bigcirc$ 2

$\bigcirc$ -2

$\bigcirc$ -19

$\bigcirc$ 20

$\bigcirc$ -20

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Substitution Property", "Algebraic Expressions", "Order of Operations" ], "new_concepts": [ "Absolute Value" ], "current_concepts": [ "Substitution Property", "Algebraic Expressions", "Order of Operations", "Absolute Value" ] } ## Substitute the given values into the expression $$ \frac{2(-3) - 5(-4)}{|-3 + (-4)|} $$ ## Simplify the numerator and denominator $$ \begin{aligned} \text{Numerator: } & 2(-3) - 5(-4) = -6 + 20 = 14 \ \text{Denominator: } & |-3 - 4| = |-7| = 7 \end{aligned} $$ ## Divide the simplified values $$ \frac{14}{7} = 2 $$

(A) 2

(B) -2

(C) -19

(D) 20

(E) -20

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Algebraic Expressions" ] }

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Question

Explanation:

Substitute the given values into the expression

Simplify the numerator and denominator

Divide the simplified values

Answer: