To find the ordered pair that is a member of both y = 18 + x and y = -6x + 52, we need to find the values of x and y that satisfy both equations.
Setting both equations equal to each other:
18 + x = -6x + 52
Solving for x:
24 + 7x = -6x + 52
30 = -12x + 52
-12x = -22
x = 22/12 = 11/6
Substituting the value of x back into either equation to solve for y:
y = 18 + x = 18 + 11/6 = 32/6 + 11/6 = 43/6 = 7 1/6
So, the ordered pair that is a member of both equations is (11/6, 7 1/6).
There is only one ordered pair, so there are no infinite possibilities or no such pair