The solution for the pair of linear equations
x + 2y = 5 and 7x + 3y = 13 is (2, 1).
False
x + 2y = 5,....(i)
7x + 3y = 13....(ii)
From (i) x = 5 - 2y
Substituting x in (ii) we get
7(5 - 2y) + 3y = 13
⇒ -11y = - 22
⇒ y = 2
Substituting the value of y in (i) we get
x = 5 - 2(2)
⇒ x = 1
Hence, the solution is (1, 2).