Elimination Method Questions 7





In this page elimination method questions 7 we are going to see solution of seventh problem from the worksheet elimination method worksheet.

Question 7

Solve the following system of linear equations by elimination-method

  13 x+ 11 y = 70 ,  11 x + 13 y = 74

Solution:


13 x+ 11 y = 70   -------- (1)

11 x + 13 y = 74 -------- (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

    24 x + 24 y = 144

  Dividing whole equation by 24 we get  x + y = 6  ------- (3)

 Subtracting first and second equation we get

  2 x – 2 y = -4

  Dividing the whole equation by 2 = > x – y = -2  ------- (4)

                        x +  y = 6

                       x –  y = -2

                  ---------------

                       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 = 6

        Y = 6 – 2

         Y = 4

Solution :

x = 2

y = 4      

verification:

13 x+ 11 y = 70

13(2) + 11(4) = 70

26 + 44 = 70

 70 = 70          elimination method questions 7 elimination method questions 7

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
  • 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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