Question

Which of the following is not solutions of 2x+y=4
a) (0,4)
b) (1,2)
c) (3,-2)
d) (7,3)​

Answer 1

Answer:

(a) (0,4)

2(0)+(4) = 4

4 = 4 yes

(b) (1,2)

2(1)+2 = 4

4 = 4 yes

(3,-2)

2(3)+(-2) = 4

6-2 = 4

4 = 4 yes

(d)(7,3)

2(7)+3 = 4

14+3 = 4

17 is not equal to 4.

Answer 2

Answer:

d) (7, 3)

Step-by-step explanation:

$2x + y = 4$

If $x = 0$ and $y = 4$

Then, $2$ × $0$  + $4 = 4$

$0$ + $4 = 4$

$4 = 4$

LHS = RHS

If $x = 1$ and $y = 2$

Then, $2$ × $1$  + $2 = 4$

$2$ + $2 = 4$

$4 = 4$

LHS = RHS

If $x = 3$ and $y = (-2)$

Then, $2$ × $3$  + $(-2) = 4$

$6$  -  $2$ $= 4$

$4 = 4$

LHS = RHS

If $x = 7$ and $y = 3$

Then, $2$ × $7$  + $3 = 4$

$14$ + $3 = 4$

$17$ ≠ $4$

LHS ≠ RHS

∴ d) (7, 3) are not the solutions of $2x + y = 4$