For parts (a)–(c) use the following equation: y = 2/(x + 6).
(a) Find the ordered pair that represents a solution to the equation when the value of x is 0.
0 ,
(b) Find the ordered pair that represents a solution to the equation when the value of y is 4.
, 4
I did (a) already.
(b) if y=4, then
4 = 2/(x +6)
x +6 = 2/4 = 1/2
x = -5 1/2
Write the ordered pair.
Thanks but this is what the site got for part b (Im still figuring how)
4 = 2/(x + 6)
4(x + 6) = 2
x = 2/4 - 6 = -22/4
To find the ordered pair that represents a solution to the equation when the value of x is 0, we substitute x = 0 into the equation y = 2/(x + 6) and solve for y.
(a)
Substituting x = 0 into the equation, we get:
y = 2/(0 + 6)
y = 2/6
y = 1/3
Therefore, the ordered pair is (0, 1/3).
To find the ordered pair that represents a solution to the equation when the value of y is 4, we substitute y = 4 into the equation y = 2/(x + 6) and solve for x.
(b)
Substituting y = 4 into the equation, we get:
4 = 2/(x + 6)
Now, we can solve for x by multiplying both sides of the equation by (x + 6):
4(x + 6) = 2
Expand and simplify:
4x + 24 = 2
Subtract 24 from both sides:
4x = 2 - 24
4x = -22
Divide both sides by 4:
x = -22/4
x = -11/2
Therefore, the ordered pair is (-11/2, 4).