The system of equations 2x 4y 6 and 4x 8y 8 is ........

Quantitative Aptitude (CDS) Quadratic Equations

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The system of equations 2x + 4y = 6 and 4x + 8y = 8 is

Consistent with a unique solution

Consistent with infinitely many solutions

Inconsistent

None of the above

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Explanation:

As, 2x + 4y − 6 = 0
2(x + 2y − 3) = 0
=> x + 2y − 3 = 0 ……….. (i)
And 4x + 8y − 8 = 0
4(x + 2y − 2) = 0
=> x + 2y − 2 = 0 ……….. (ii)
Here, a1 = 1, b1 = 2, c1 = −3
a2 = 1, b2 = 2, c2 = −2
Then,
a1/a2= 1
b1/b2= 1
c1/c2=3/2
As we know that if
a1/a2=b1/b2≠c1/c2
Then lines are parallel and inconsistent no solution.
Hence solution is in consistent.