Elimination Method Questions 2





In this page elimination method questions 2 solution we are going to see solution of first problem from the worksheet elimination method worksheet.           elimination method questions 2

Question 2

Solve the following system of linear equations by elimination-method

3 x + y = 8 , 5 x + y = 10

Solution:

3 x + y = 8    --------- (1)

5 x + y = 10   --------- (2)

There are two unknowns in the given equations. By solving these equations we have to find the values of x and y. For that let us consider the coefficients of x and y in both equation. In the first equation we have + y and in the second equation also we have + y and the symbols are  same so we have to subtract them for eliminating the variable y.

Subtracting (2) from (1) we get   

 3 x + y = 8   

 5 x + y = 10  

(-)     (-)    (-)

 ----------------

   - 2 x = -2                                   

        x = -2/ (-2)

        x = 1

now we have to apply the value of x in either given equations to get the value of another variable y

Substitute x = 1 in the first equation we get

     3 (1) + y = 8

              y = 8 – 3

               y = 5

Solution:

     x = 1

     y = 5    

verification:

 3 x  + y = 8

 3(1) + 5 = 8

 3 + 5 = 8

 8 = 8           elimination method questions 2

Solve each of the following system of equations by elimination-method.

  • x + 2 y = 7 , x – 2 y = 1     Solution
  • x + y/2 = 4 , x / 3 + 2 y = 5   Solution
  • 11 x - 7 y = x y , 9 x - 4 y = 6 x y   Solution
  • 3/y + 5/x = 20/x y , 2/x + 5/ y = 15/x y   Solution
  • 8 x – 3 y = 5 x y , 6 x – 5 y = -  2 x y    Solution
  • 13 x+ 11 y = 70 ,11 x + 13 y = 74     Solution
  • 65 x – 336 y = 97 , 33 x – 65 y = 1     Solution
  • 15/ x + 2/y = 17 , 1/x + 1/y = 36/5  Solution
  • 2/x + 2/3y  = 1/6,3/x + 2/y = 0    Solution



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