SOLVING SYSTEMS OF EQUATIONS BY SUBSTITUTION AND ELIMINATION WORKSHEET

(1)  Solve the following pairs of linear equations by the elimination method and the substitution method

(i)  x + y = 5 and 2 x – 3 y = 4         Solution

(ii)  3x + 4y  =  10 and 2x – 2y  =  2         Solution

(iii)  3x – 5y – 4  =  0 and 9x  =  2y + 7         Solution

(iv)  (x/2) + (2y/3)  =  -1  and x – (y/3)  =  3    Solution

(2)  Form the pair of linear equations in the following problems, and find their solutions (if they exists) by the elimination method:

(i) If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1, it becomes 1/2 if we only add 1 to the denominator. What is the fraction?

Solution

(ii)  Five years ago, Nuri was thrice as old as sonu. Ten years later, Nuri will be twice as old as Sonu. How old are Nuri and Sonu ?             Solution

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