Math, asked by dinu3528, 1 year ago

Solve 101x + 99y and 99x + 101y by using elimination method?

Answers

Answered by Latinoheats2005
1




Solve:99x+101y=499 ; 101x+99y+501
9 Follow 0

99x + 101y = 499 ----- (i)

101x + 99y = 501 ---- (ii)

(i) + (ii) , gives

99x + 101y + 10x + 99y= 501 + 499 = 1000

200x + 200y = 1000

200(x+y) = 1000

x + y = 1000 / 200 = 5 ----- (iii)

Now (ii) - (i) , gives

101x + 99y - 99x - 101y =501 - 499 = 2

2x - 2y = 2

2(x-y) = 2

x - y = 1 ------- (iv)

(iii) + (iv) , gives

x + y + x - y = 5 + 1 = 6

2x = 6

x = 3 and y = 2

Ans: x = 3 and y = 2
Answered by AbhinavRocks10
3

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