Question

Which ordered pair in the form (x, y) is a solution of this equation? (x + 3)y = 14 A. (3, 2) B. (7, 2) C. (11, 1) D. (5, 2). Which pairs are solutions to the equation? 3xy + 9 = 33 A. (1, 11) and (2, 6) B. (8, 1) and (2, 6) C. (1, 8) and (1, 11) D. (1, 8) and (8, 1)

Answer 1

Answer: The answers are (C) (11, 1) and (D) (8, 1) and (1, 8).

Step-by-step explanation: The calculations are as follows:

(i) The given equation is

`(x+3)y=14.`

Only the point (11, 1) will satisfy the given equation because

`L.H.S.=(x+3)y=(11+3)* 1=14=R.H.S.`

So, the correct option is (C) (11, 1).

(ii) The given equation is

`3xy+9=33.`

Only the points (1, 8) and (8, 1) will satisfy the given equation because

`L.H.S.=3* 1* 8+9=24+9=33=R.H.S.\\\\L.H.S.=3* 8* 1+9=24+9=33=R.H.S.`

So, the correct option is (D) (1, 8) and (8, 1).

Thus, the answers are (C) and (D).

Answer 2

Given :
(x + 3)y = 14

Substituting the coordinate pairs and see if they satisfy :
C. (11, 1) works.
Because :
putting x = 11,
we get,
(11 + 3)y = 14
14y = 14
y = 1