\\begin{aligned} y &= 4x - 10 \\ y &= 2 \end{aligned}\

what is the solution to the system of equations?

(3, 2)
(2, 3)
(-2, 2)
(2, -2)

Question

\\begin{aligned} y &= 4x - 10 \\ y &= 2 \end{aligned}\

what is the solution to the system of equations?

(3, 2)
(2, 3)
(-2, 2)
(2, -2)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [ "Substitution Method", "Systems of Equations" ], "new_concepts": [], "current_concepts": [ "Systems of Equations", "Substitution Method" ] } ## Substitute the value of y into the first equation $$ \begin{aligned} &y = 2\ &2 = 4x - 10 \end{aligned} $$ ## Solve the linear equation for x $$ \begin{aligned} &2 + 10 = 4x\ &12 = 4x\ &x = 3 \end{aligned} $$ ## Write the solution as an ordered pair $$ (x, y) = (3, 2) $$

(A) (3, 2)

(B) (2, 3)

(C) (-2, 2)

(D) (2, -2)

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QUESTION IMAGE

Question

Explanation:

Substitute the value of y into the first equation

Solve the linear equation for x

Write the solution as an ordered pair

Answer: