Option E
The sum of all possible values of y is 20
<em><u>Solution:</u></em>
Given that,
6x + 2y = 25
Where, xy > 0
We have to find the sum of all possible values of y if x is a positive integer
We can use values of x = 1, 2, 3, 4
For x = 5 and above, y will be negative
<em><u>Substitute x = 1 in given equation</u></em>
6(1) + 2y = 25
6 + 2y = 25
2y = 25 - 6
2y = 19
Divide both the sides of equation by 2
<em><u>Substitute x = 2 in given equation</u></em>
6(2) + 2y = 25
2y = 25 - 12
2y = 13
Divide both the sides of equation by 2
<em><u>Substitute x = 3 in given equation</u></em>
6(3) + 2y = 25
2y = 25 - 18
2y = 7
Divide both the sides of equation by 2
<u><em>Substitute x = 4 in given equation</em></u>
6(4) + 2y = 25
24 + 2y = 25
2y = 25 - 24
2y = 1
Divide both the sides of equation by 2
<u><em>Now add all the values of "y"</em></u>
Thus sum of all possible values of y is 20
