SAT Math Practice Question #2185 (Medium) | Test Citadel
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SAT Math Difficulty: Medium

Digital SAT Math Practice Question #2185

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: $$\begin{cases} y = 2x - 3 \\ 3x + 2y = 8 \end{cases}$$ 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

Substitute $y = 2x - 3$: $3x + 2(2x - 3) = 8 \implies 3x + 4x - 6 = 8 \implies 7x = 14 \implies x = 2$. Then $y = 2(2) - 3 = 1$....

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

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