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


…(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




Put the value of x in Eq. (iii), we get





Given that the linear relation between x, y and is



Now, put the values of x and y in above relation, we get





Hence, the solution of the pair of equations is x = 340, y = - 165 and the required value of is


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