Question

$49x - 57y = 172 \\ 57x - 49y = 252$
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Answer 1

Answer:

Step-by-step explanation:

49x-57y = 172      --- [1]

57x-49y = 252     ---[2]

Adding [1] And [2],

49x-57+57x-49y = 172 + 252

49x-49y+57x-57y = 424

49(x-y) + 57(x-y) = 424

(x-y)[49+57] = 424

(x-y)[106] = 424

x-y = 424/106

x-y = 4

x = 4 + y --[3]

Subtracting [1] And [2],

57x-49y-49x+57y = 252 - 172

57x+57y-49x-49y = 80

57(x+y)-49(x+y) = 80

(x+y)[57-49] = 80

(x+y)[8] = 80

x+y = 80/8

x+y = 10 --[4]

Putting value of [3] in [4],

Therefore,

4 + y + y = 10

2y = 10 - 4

2y = 6

y = 3 --[5]

Putting value of [5] in [3],

x = y + 4

  = 3 + 4

x = 7

Therefore,

x= 7 And y = 3

Hope Its Useful....

Answer 2

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