Question

Mental Math  By inspecting the​ equations, what can you determine about the​ solution(s) of this​ system?
8 y
equals 20 x plus 76
6 y
equals 15 x plus 57
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Part 1
Choose the correct answer below.
A.
The system has exactly one solution.
B.
The system has infinitely many solutions.
C.
The system has no solution.

Answer 1

Solve each for y:
8y = 20x + 76 → y = (20/8)x + 76/8 = (5/2)x + 19/2.
6y = 15x + 57 → y = (15/6)x + 57/6 = (5/2)x + 19/2.

Both equations are the same line, so the system has infinitely many solutions. (B)