Created by Tomer Gal.
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Problem

6x3y=5y2x=8\begin{aligned} &6x-3y =5 \\\\ &y -2x=8 \end{aligned}
How many solutions does the system have?
Please choose from one of the following options.
If your answer was Exactly one solution, what is this solution?
If your answer was Infinitely many solutions or No solutions, leave the boxes blank.
x, equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i
y, equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i