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The system of equation 2x + 4y = 6 and 4x + 8y = 8 is
  • a)
    Consistent with unique solution
  • b)
    Consistent with infinity many solutions 
  • c)
    Inconsistent
  • d)
    None of the above
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The system of equation 2x + 4y = 6 and 4x + 8y = 8 isa)Consistent with...
2x + 4y = 6      ----(1)
4x + 8y = 8
⇒ 2x + 4y = 4      ----(2)
From equation 1 and 2, we can say that;
a1/a2 = b1/b2 ≠ c1/c2
This is the situation when the equations are inconsistent.
∴ The system of equation 2x + 4y = 6 and 4x + 8y = 8 is Inconsistent.
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The system of equation 2x + 4y = 6 and 4x + 8y = 8 isa)Consistent with unique solutionb)Consistent with infinity many solutionsc)Inconsistentd)None of the aboveCorrect answer is option 'C'. Can you explain this answer?
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