Question:
x = 5 and y = 2 is a solution of the linear equation
(a) x + 2y = 7
(b) 5x + 2y = 7
(c) x + y = 7
(d) 5x + y = 7
Solution:
(c) (a) Take x + 2y, on putting x=5 and y = 2, we get
5 + 2(2) = 5+ 4 = 9≠7.
So, (5, 2) is not a solution of x + 2y = 7
(b) Take 5x + 2y, on putting x = 5 and y = 2, we get
5x 5 + 2 x2 =25+ 4 = 29≠7
So, (5, 2) is not a solution of 5x + 2y = 7.
(c) Take x + y, on putting x = 5 and y = 2, we get 5+2=7
So, (5,2) is a solution of x + y = 7.
(d) Take 5x + y, on putting x = 5 and y = 2, we get
5×5 + 2=25 + 2 =27 ≠7
So, (5, 2) is not a solution of 5x + y = 7.