3. step 4: choose the correct solution of the system of linear equations.

\\begin{cases} 3x + y = 4 \\ x + y = -2 \end{cases}\

(2, -3)
(3, -5)
(3, 4)
(-3, -5)

Question

3. step 4: choose the correct solution of the system of linear equations.

\\begin{cases} 3x + y = 4 \\ x + y = -2 \end{cases}\

(2, -3)
(3, -5)
(3, 4)
(-3, -5)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Systems of Linear Equations" ], "new_concepts": [], "current_concepts": [ "Systems of Linear Equations", "Algebraic Elimination" ] } ## Subtract the second equation from the first $$ \begin{aligned} (3x + y) - (x + y) &= 4 - (-2) \ 2x &= 6 \ x &= 3 \end{aligned} $$ ## Substitute the value of x into the second equation $$ \begin{aligned} 3 + y &= -2 \ y &= -5 \end{aligned} $$ ## Verify the solution $$ \begin{aligned} (x, y) &= (3, -5) \ 3(3) + (-5) &= 9 - 5 = 4 \end{aligned} $$

(A) $(2, -3)$

(B) $(3, -5)$

(C) $(3, 4)$

(D) $(-3, -5)$

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

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QUESTION IMAGE

Question

Explanation:

Subtract the second equation from the first

Substitute the value of x into the second equation

Verify the solution

Answer: