Question

8x +3y = 11 , 3x - y =2

Solve by substitution method

Answer 1

8x + 3y = 11 ....................(I)


==> 3x - y = 2 ...................(II)


In equation (II) it is easy to express y in terms of x.

3x - y = 2

3x -2 = y

Substituting y = 3x - 2 in equation (I)

8x + 3y = 11

8x + 3(3x - 2) = 11

8x + 9x - 6 = 11

17x - 6 = 11

17x = 11+6

17x = 17

x = 17/17

x = 1


Now,substituting the value of x in the equation y = 3x - 2

y = 3x - 2

y = 3 x 1 - 2

y = 3 - 2

y = 1


So,x = 1 and y = 1 are the solution of the given equation..


Thanks..

:)

Answer 2

Hello friend

Here is your answer!!!!!!

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Ans==>>

8x + 3y = 11 ..................(1)

3x - y = 2 .......................(2)


In equation (2) it is easy to express y in terms of x


3x - y = 2

3x - 2 = y


Substituting y = 3x - 2 in equation (1) we get,


8x + 3y = 11

8x + 3(3x - 2) = 11

8x + 9x - 6 = 11

17x - 6 = 11

17x = 11 + 6

17x = 17

x = 17/17

x = 1


Now, substituting value of x = 1 in equation (2)


Hence,

3x - y = 2

y = 3x - 2

y = 3 x 1 - 2

y = 3 - 2

y = 1


Therefore,x = 1 and y = 1 is the solution of the given equation.


Thanks.


:)