Which ordered pairs are solutions to the equation 2x+9y=11?

Answer 1

2x+9y=11

2x=11-9y

x= 11/2 -9y/2

(11/2-9y/2, y) is a solution where y can be any real number

or you could solve for y in terms of x

9y= 11-2x

y = 11/9-2x/9

(x, 11/9-2x/9) is a solution where x takes on any real number value

(0, 11/9) is a solution

(1, 1) is a solution

(2, 7/9) is a solution

etc.

there are an infinite number of solutions (x,y) that satisfy the given equation