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RD Chapter 8 Solution of Simultaneous Linear Equations Ex 8.1 Solutions

Question - 11 : -

Answer - 11 : -


Question - 12 : -

Answer - 12 : -


Question - 13 : -

The management committee of a residential colony decided to awardsome of its members (say x) for honesty, some (say y) for helping and others(say z) for supervising the workers to keep the colony neat and clean. The sumof all the awardees is 12. Three times the sum of awardees for cooperation andsupervision added to two times the number of awardees for honesty is 33. If thesum of the number of awardees for honesty and supervision is twice the numberof awardees for helping others, using matrix method, find the number ofawardees of each category. Apart from these values, namely, honesty,cooperation and supervision, suggest one more value which the management mustinclude for awards.

Answer - 13 : -


Question - 14 : - A school wants to award its students for the values of Honesty, Regularity and Hard work with a total cash award of Rs. 6000. Three times the award money for Hard work added to that given for honesty amounts to Rs. 11000. The award money given for Honesty and Hard work together is double the one given for Regularity. Represent the above situation algebraically and find the award for each value, using matrix method. Apart from these values, namely, Honesty, Regularity and Hard work, suggest one more value which the school must include for awards.

Answer - 14 : -


The school can include an award for creativity andextra-curricular activities.

Question - 15 : - Two institutions decided to award their employees for the three values of resourcefulness, competence and determination in the form of prizes at the rate of Rs. x, Rs. y and Rs. z respectively per person. The first institution decided to award respectively 4, 3 and 2 employees with a total prize money of Rs. 37000 and the second institution decided to award respectively 5, 3 and 4 employees with a total prize money of Rs. 47000. If all the three prizes per person together amount to Rs. 12000, then using matrix method find the value of x, y and z. What values are described in these equations?

Answer - 15 : -


Question - 16 : -
Two factories decided to award their employees for three values of (a) adaptable to new techniques, (b) careful and alert in difficult situations and (c) keeping calm in tense situations, at the rate of Rs. x, Rs. y and Rs. z per person respectively. The first factory decided to honour respectively 2, 4 and 3 employees with a total prize money of Rs. 29000. The second factory decided to honour respectively 5, 2 and 3 employees with the prize money of Rs. 30500. If the three prizes per person together cost Rs 9500, then
(i) represent the above situation by matrix equation and form linear equations using matrix multiplication.
(ii) Solve these equations using matrices.
(iii) Which values are reflected in the questions?

Answer - 16 : -


Keeping calm in a tense situation is more rewarding than carefulness, and carefulness is more rewarding than adaptability.

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