Question

Check $(0,2),(4,5)$ are solutions of $(x+y=5)$ and $(x-y=1)$. If not then find the solution?

Answer 1

Given

$(0,2)⟹0+2\ne 5$ therefore, (0 , 2) is not the solution of the equation x+y=5

x - y =1

$⟹0-2\ne 1$, so ,(0 , 2) is also not the solution of the equation x - y =1

(4 , 5)$⟹4+5=8\ne 5$, therefore,(4 , 5) is not the solution of the equation (x + y = 5)

x + y = 5

x - y = 1

+y and -y cancel

then, 2x = 6

$⟹x=3$

y = x - 1 = 3 - 1 = 2

Hence, the solution is (3 , 2)