Question

solve the following simultaneous equation 8x+3y=14; 3x+y=5 ( use substitution method) ​

Answer 1

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Answer 2

Step-by-step explanation:

Hello friends..

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==> 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..

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