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49x - 57y57y = 172; 57x - 49y = 252​

Answer»

49x – 57Y = 172 .....(I)57x – 49y = 252 .....(II)Adding (I) and (II) 49x+57x-57y-49y=172+252⇒106x-106y=424⇒x-y=4 .....(III)SUBTRACTING (II) from (I) we have49x-57y-57y-(-49y)=252-172⇒-8x-8y=-80⇒-x-y=-10 ⇒x+y=10 .....(IV)Adding (III) and (IV)x-y=4x+y=10⇒2x=14⇒x=7Putting the value of x = 7 in (IV) we get7+y=10⇒y=10-7⇒y=3Thus, (x, y) = (7, 3).


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