Elimination Method Questions 8





In this page elimination method questions 8 we are going to see solution of eight problem from the worksheet elimination method worksheet.

Question 8

Solve the following system of linear equations by elimination-method

 65 x – 33 y = 97 ,  33 x – 65 y = 1

Solution:

 65 x – 33 y = 97  ------- (1)

 33 x – 65 y = 1  ---------(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.

Adding first and second equation we get

    98 x - 98 y = 98

  Dividing whole equation by 98 we get  x - y = 1  ------- (3)

 Subtracting first and second equation we get

  32 x + 32 y = 96

  Dividing the whole equation by 32 = > x + y = 3  ------- (4)

                        x -  y = 1

                       x + y = 3

                  -----------------------

                       2 x = 4

                        x =4/2

                        x = 2

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

Substitute x = 2 in the 3rd equation

   2 - y = 1

       - y = 1 – 2

        - y = -1

          y = 1 

Solution :

x = 2

y = 1

verification:

65 x – 33 y = 97

65 (2) - 33 (1) = 97

130 - 33 = 97

    97 = 97     elimination method questions 8 elimination method questions 8

Need to try other questions:

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

  • x + 2 y = 7 , x – 2 y = 1     Solution
  • 3 x + y = 8 , 5 x + y = 10    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
  • 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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