5. what is the value of y in the system of equations shown:
\x - y = -1\
\3x + 5y = 21\
a. 2
b. 3
c. 9
d. 12

Question

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "System of Equations" ], "new_concepts": [], "current_concepts": [ "System of Equations", "Linear Equations" ] } ## Express x in terms of y $$ \begin{aligned} x - y &= -1 \ x &= y - 1 \end{aligned} $$ ## Substitute x into the second equation $$ \begin{aligned} 3(y - 1) + 5y &= 21 \ 3y - 3 + 5y &= 21 \ 8y - 3 &= 21 \end{aligned} $$ ## Solve for y $$ \begin{aligned} 8y &= 24 \ y &= 3 \end{aligned} $$

(A) 2

(B) 3

(C) 9

(D) 12

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "System of Equations" ] }

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Question

Explanation:

Express x in terms of y

Substitute x into the second equation

Solve for y

Answer: