Question

3. Wbrute whether the following pair of linear equations
e consutent or not.
31+2y=5 and 2x-3y=7​

Answer 1

Answer:

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Answer 2

Answer:

Assume 3x+2y= p and 3x-2y=q

So, 2/p + 3/q = 17/5 ……. (1)

5/p + 1/q = 2 ……….(2)

Above system gives,

10p+15q = 17 and

5p + q = 2pq

Multiplying the second eqn. by 2 and subtraction the same from the first eqn. gives:

13q = 13pq => q = 1

Putting q=1 in the second eqn. above gives, p = 5

So, 3x+2y = 5 and 3x-2y = 1

=> 6x = 6 => x=1

Putting x-1 in any of the above equations gives, y = 1

So, the answer is x = 1, y = 1

Step-by-step explanation:

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