নিচের সরল সহসমীকরণগুলো সমঞ্জস্য/অসমঞ্জস্য, পরস্পর নির্ভরশীল/অনির্ভরশীল কি না যুক্তিসহ উল্লেখ কর এবং এগুলোর সমাধানের সংখ্যা নির্দেশ করঃ

  1. \( x - y = 4 \\ x + y = 10 \)
  2. \( 2x + y = 3 \\ 4x + 2y = 6 \)
  3. \( x - y - 4 = 0 \\ 3x - 3y - 10 = 0 \)
  4. \( 3x + 2y = 0 \\ 6x + 4y = 0 \)
  5. \( 3x + 2y = 0 \\ 9x - 6y = 0 \)
  6. \( 5x - 2y - 16 = 0 \\ 3x - \dfrac{6}{5}y = 2 \)
  7. \( -\dfrac{1}{2}x + y = -1 \\ x - 2y = 2 \)
  8. \( -\dfrac{1}{2}x - y = 0 \\ x - 2y = 0 \)
  9. \( -\dfrac{1}{2}x + y = -1 \\ x + y = 5 \)
  10. \( ax - cy = 0 \\ cx - ay = c^{2} - a^{2} \)