Question

49x-57y=172;57x-49y=252​

Answer 1

Answer:

49x-57y=172---(1)

57x-49y=252---(2)

Step-by-step explanation:

Adding (1) and (2)

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

106x-106y=424

x-y=4---(3)

Subtracting (2) from(1) we get

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

-8x-8y= -80

-x-y=10

x+y=10---(4)

Adding (3) and(4)

x-y=4

x+y=10

2x=14

x=7

Putting the value of x=7 in (4) we get

7+y=10

y=10-7

y=3

Thus,(x,y)=(7,3)

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