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Question

The equation x+2y+2z=1 and 2x+4y+4z=9 have


A

Only one solution

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B

One two solutions

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C

Infinite number of solutions

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D

None of these

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Solution

The correct option is D

None of these


Explanation for the correct option:

Find the number of solutions for the given system of equations.

Two equations are given:

x+2y+2z=1...1

2x+4y+4z=9...2

From equation 1 and equation 2.

a1a2=b1b2=c1c2=12

but, d1d2=19

So, a1a2=b1b2=c1c2≠d1d2

Therefore, the given system of equations has no solution.

Hence, the option D is correct .


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