## 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 