Question

1. Use Euclid's division lemma to find HCF of 567 and 567. 2. Prove that V3 is an irrational number. 3. Solve the following system of equations 23x - 29 y = 98 29x - 23 y = 110 4. For what value of k will the following system of linear equations has no solution? 3x + y =1 (2k-1) + (k-1) y = 2k+ 1 ( 5101​

Answer 1

Answer

Solve the following system equation:

23x−29y=98

29x−23y=110

23x−29y=98⟶(i)

29x−23y=110⟶(ii)

Adding (i) and (ii) we get ,

52x−52y=208

⇒52(x−y)=208

⇒x−y=4⟶(iii)

Substracting (ii) from (i),

−6x−6y=−12

⇒x+y=2⟶(iv)

Now by solving (iii) and (iv),

2x=6

⇒x=3

Substituting value of x in equation (iv),

3+y=2

y=−1

∴x=3 and y=−1

Explanation:

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