Math, asked by ushanaveen83, 1 year ago

the solution of 11x 89y=200 and 89x+111y=200​

Answers

Answered by bedabrata85
1

SO WE NEED TO FIND THE ANSWER OF THE GIVEN QUESTION,

SO LET US START.

SOLUTION

Given,Equations are.

1. 11x+89y=200

2. 89x+11y=200

For solving,we must make 1 variable cancelled out .For doing that we are going to simplify the whole equation by adding the equation 1 and 2 to get a simplified equation from which we will find a value of one variable.

So, Eq(1)+Eq(2)

= 11x+89y+89x+11y=200+200

= 100x+100y=400

= x+y=4

= x=4-y

Now, we will substitute the value of x in any of the two equations.Let us substitute it in Eq 1

Now,

By substituting value of x in Eq(1) we have,

=11×(4-y)+89y=200

=44-11y+89y=200

=78y=156

=y=2

As we have got the value of y ,then value of x must be

equal to 4-y=4-2=2

Therefore,

Value of x=2, and y=2.

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