SAT Math Practice Question #2184 (Medium) | Test Citadel
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SAT Math Difficulty: Medium

Digital SAT Math Practice Question #2184

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: $$\begin{cases} 3x - 4y = 1 \\ 2x + 3y = 12 \end{cases}$$ 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
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⚡ 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 by 3 and second by 4: $9x - 12y = 3$ and $8x + 12y = 48$. Add: $17x = 51 \implies x = 3$. Then $2(3) + 3y = 12 \implies 3y = 6 \implies y = 2$....

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

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