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