Question

15. The solution of the linear equations in
two variables is 49x - 57y = 17257x
49y = 252
(3 Points)
x = 7.y = 3
x = 3, y = 7
x = 7, y = - 3​

Answer 1

Answer:

49x-57y=172 ......................(I)

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

Adding(I) and (ii)

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

106-106y=424

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

Subtracting (ii) from (I)we have

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

= -8x-8y=-80

=-x-y=-10

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

Adding (iii) and (Iv)

x-y=4

x+y=10

=2x=14

x= 14/2

x= 7

Now, putting the value of x=7in (iv) we get

=7+y=10

=y= 10-7

y=3

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