Question

100x + 50y =2500
50x + 100y = 2000

Answer 1

Hii There!!!

Let the given equations be equation 1) and 2)

Now, multiply eq. 1) by 50 and eq.2) by 100
We get :-

50 × [ 100x + 50y = 2500 ]

=) 5000x + 2500y = 125000 ------3)


Similarly, 100 × [ 50x + 100y = 2000]

=) 5000x + 10000y = 200000 ----4)



So, solving eq. 3) and 4) by elimination method
we get ,

5000x + 2500y = 125000
5000x + 10000y = 200000
-. -. -
_____________________


=) -7500y = - 75000

=) y = 10


Now, put value of 'y' in eq 1)

100x + 50 × 10= 2500

=) 100x +500 =2500

=) 100x = 2000

=) x = 20



Hope it helps

Answer 2

100x+50y=2500
x=(2500-50y)/100
50((2500-50y)/100)+100y=2000
y= 0.5