SAT Math Practice Question #2186 (Medium) | Test Citadel
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SAT Math Difficulty: Medium

Digital SAT Math Practice Question #2186

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: $$\begin{cases} y = -x + 5 \\ 2x - 3y = 5 \end{cases}$$ 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: $2x - 3(-x + 5) = 5 \implies 2x + 3x - 15 = 5 \implies 5x = 20 \implies x = 4$. Then $y = -4 + 5 = 1$....

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

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