Q1 of 7 Page 67

Solve for x and y:

First let us form the different linear equations we can obtain:




Assumptions:


Let




Conversion of Equations: After applying the assumption our equations become,





From equation (vi) we can say that b = 18 a, Let us apply this value of b in equation (v)


126 a + 15.5 a = 6 a


From this, we can clearly see we won’t be able to obtain any solution.


So, the system of linear equations,



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The students of a class are made to stand in rows. If one student is extra in a row there would be 2 rows less and if one student is less in a row there would be 3 rows more. Find the number of students in the class.

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Two automobiles start out at the same time from cities 595 kilometers apart. If the speed of one is 8/9 of the speed of the other & if they meet in 7 hours what is the speed of each.

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Find the value of a and b for which the following system of linear equations has infinitely many solutions:

3x – (a + 1)y = 2b – 1


5x + (1 – 2a)y = 3b