Question

Solve

32
x(x-4)
04
O 2.4
+
H|N
=
8
x-4°
O There is no solution.

Answer 1

Among the given points, only (4, 0) is a solution to the equation x - 2y = 4.

To determine which points are solutions of the equation x - 2y = 4, we substitute the given coordinates into the equation and check if the equation holds true.

(i) For the point (0, 2):

0 - 2(2) = 0 - 4 = -4

Since -4 is not equal to 4, (0, 2) is not a solution.

(ii) For the point (2, 0):

2 - 2(0) = 2

Since 2 is not equal to 4, (2, 0) is not a solution.

(iii) For the point (4, 0):

4 - 2(0) = 4

Since 4 is equal to 4, (4, 0) is a solution.

(iv) For the point (√2, 4√2):

`\[√(2) - 2(4√(2)) = √(2) - 8√(2) = -7√(2)\]`

Since -7√2 is not equal to 4, (√2, 4√2) is not a solution.

(v) For the point (1, 1):

1 - 2(1) = -1

Since -1 is not equal to 4, (1, 1) is not a solution.

The question probable may be:

Check which of the following are solutions of the equation x - 2y = 4 and which are not:

(i) (0, 2)

(ii) (2, 0)

(iii) (4, 0)

(iv) (√2, 4√2)

(v) (1, 1)