Digital SAT Math Practice Question #27
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A system of equations represents geometric intersections. Consider substitution, elimination, or setting both expressions equal.
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.
From the second equation, we can express x as x = y + 1. Substitute this into the first equation: 2(y + 1) + 3y = 12. Distribute to get 2y + 2 + 3y = 12, which simplifies to 5y + 2 = 12. Subtract 2 to get 5y = 10, so y = 2. Substitute y = 2...
Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...
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