SAT Math Practice Question #2189 (Medium) | Test Citadel
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SAT Math Difficulty: Medium

Digital SAT Math Practice Question #2189

Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.

Consider the system of equations below: $$\begin{cases} x/2 + y/3 = 4 \\ x - y = 3 \end{cases}$$ If $(x, y)$ is the solution to the system, what is the value of $(x, y)$?
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Socratic AI Engine Step-by-Step Derivation
0ms Precomputed
⚡ 15-Second Desmos Speed Hack

Desmos Hack: Type both equations directly into separate lines in Desmos. Click the gray dot at their intersection to instantly read $(x, y)$.

Masterclass Solution & Distractor Trap Analysis

Multiply first equation by 6: $3x + 2y = 24$. From second, $x = y + 3$. Substitute: $3(y + 3) + 2y = 24 \implies 5y + 9 = 24 \implies 5y = 15 \implies y = 3$. Then $x = 6$....

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

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