SAT Math Practice Question #216 (Medium (635)) | Test Citadel
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SAT Math Difficulty: Medium (635)

Digital SAT Math Practice Question #216

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

A system of two linear equations is given below: \[ 3x + 4y = 18 \] \[ 2x - y = 1 \] If the ordered pair \( (x, y) \) is the solution to the system of equations, what is the value of \( x + y \)?
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Socratic AI Engine Step-by-Step Derivation
0ms Precomputed
Tactical Insight (Hint 1)

A system of equations represents geometric intersections. Consider substitution, elimination, or setting both expressions equal.

Elimination Framework (Hint 2)

Desmos Tactical Shortcut: Plot the left-hand side and right-hand side as separate equations (e.g. \( y_1 = f(x) \) and \( y_2 = g(x) \)). Click the intersection points directly to read exact coordinates.

Masterclass Solution & Distractor Trap Analysis

The SAT loves testing systems, and a great strategy here is either substitution or elimination. Let's use substitution because the second equation can be easily rearranged to solve for \( y \). Step 1: Isolate \( y \) in the second equation...

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

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