Answered

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Consider the system of equations.
8x- 6y = 12
| Cx - 3y = 6

What value of C would produce a system

Sagot :

C would produce the value of joe
sqdancefan

9514 1404 393

Answer:

  • C = 4: dependent system
  • C ≠ 4; independent, consistent system with solution (0, -2)

Step-by-step explanation:

If you divide the first equation by 2, you get ...

  4x -3y = 6

If C=4, the second equation would be identical to this, giving a dependent system of equations with an infinite number of solutions.

If you want a system of equations with one solution, the value of C must be anything except 4. (That system will have the solution (x, y) = (0, -2).)

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