Let's write that out symbolically:
6 x 6
------ = --------- - ---
x -6 x-6 2
The LCD is 2(x-6). Modifying this equation appropriately,
2(6) 2(x) 2(x-6)
--------- = --------- - -----------
2(x-6) 2(x-6) 2(x-6)
Then 12 = 2x - 2x + 12 This is true for all x, so there are an infinite number of solutions, EXCEPT that x = 6 is not a solution (causes div. by zero).
1/3 because there are 5 chocolate chip cookies and 15 cookies in all. So your fraction would be 5/15 which simplified is 1/3
The perpendicular line will have a slope of b/a.
To find this, we first have to solve our equation for slope intercept form.
ax + by = c ----> subtract ax
by = -ax + c ----> divide by b
y = -a/bx + c/b.
So we know the slope of this equation to be -a/b. Since perpendicular lines have opposite and reciprocal slopes, we know we can simply flip the fraction and make it a negative to get the new slope of b/a.
Answer 49/6 <×< 41/2
if you need me to explain for you write a comment!!