sir my question has been described below

To find the solutions for the given equation 3y + 9x = 0 we need to put different values of x and get the values of y (like we do to get few points to draw the given equation of line on a graph paper). We can take any 3 values of x.

Let x = 0

3y + 9(0) =0

3y = 0

y = 0 (divided both sides by 3)

Let x = 1

3y + 9(1) = 0

3y = -9 (subtracted 9 from both sides)

y = -3 (divided both sides by 3)

Let  x = -1

3y + 9(-1) = 0

3y - 9 = 0

3y = 9 (added 9 to both sides)

y = 3 (divided both sides by 3)

 

So, 3 solutions for the given equation are (0,0), (1,-3) and (-1,3)