Solving Systems of Equations by Substitution and Elimination Worksheet :
Worksheet given in this section will be much useful for the students who would like to practice problems on solving system of equations by substitution and elimination.
(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?
(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
After having gone through the stuff given above, we hope that the students would have understood how to solve system of equations using substitution and elimination.
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