Find the solution of the pair of equations
and find λ if y = λx + 5
Given pair of equations is
…(i)
and
…(ii)
Now, multiplying both sides of Eq. (i) by LCM (10, 5) = 10, we get
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…(iii)
Again, multiplying both sides of Eq. (iv) by LCM (8, 6) = 24, we get
…(iv)
On, multiplying Eq. (iii) by 2 and then subtracting from Eq., (iv), we get
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Put the value of x in Eq. (iii), we get
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Given that the linear relation between x, y and
is
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Now, put the values of x and y in above relation, we get
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Hence, the solution of the pair of equations is x = 340, y = - 165 and the required value of
is ![]()