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Number of Solutions to a Linear System
Grade Level
GMAT
Q.120 Number of Solutions to a Linear System
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The system is (3x + y)/2 = 7 and 9x + 3y = 42. How many ordered pairs satisfy both equations?
A
Exactly one solution; identical relationships are being treated as if they meet once.
B
No solution; identical relationships are being treated as parallel distinct lines.
C
Exactly two solutions; identical linear relationships agree at more than two inputs.
D
Cannot be determined without solving for both variables.
E
Infinitely many solutions; clearing the denominator in the first equation gives the same line
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