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Linear systems of equations capstone

6x−3y=5y−2x=8\begin{aligned} &6x-3y =5 \\\\ &y -2x=8 \end{aligned}
How many solutions does the system have?
Choose 1 answer:
Choose 1 answer:
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=x=
  • Your answer should be
  • an integer, like 66
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • an exact decimal, like 0.750.75
  • a multiple of pi, like 12 pi12\ \text{pi} or 2/3 pi2/3\ \text{pi}
y=y=
  • Your answer should be
  • an integer, like 66
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • an exact decimal, like 0.750.75
  • a multiple of pi, like 12 pi12\ \text{pi} or 2/3 pi2/3\ \text{pi}