## 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