Question

49x - 57y = 172; 57x - 49y = 252 solve this question ​

Answer 1

Answer:

y=3

Step-by-step explanation:

Given :-

49x - 57y = 172 ........(i), and

57x-49y=252.............(ii)

Adding (i) and (ii), we get

106x - 106y = 424

=> x - y = 4 .................(iii)

Now substracting (i) and (ii), we get

-8x - 8y = -80

=> x + y = 10 ...............(iv)

Adding (iii) and (iv), we get

2x = 14

=> x = 7

putting the value of x in question (iii), we get

y = 3

Answer 2

Step-by-step explanation:

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

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

adding equations (1) and (2),

=> 106x - 106y = (172 + 252) = 424

=> 106(x - y) = 424

=> x - y = 4, y = 4 + y put it equation (1),

49(4 + y) - 57y = 172

=> 196 + 49y - 57y = 172

=> 196 - 8y = 172

=> 196 - 172 = 8y

=> 24 = 8y

=> y = 3 and x = 4 + y = 4 + 3 = 7

hence, x = 7 and y = 3