if (2x-3):(y+4)=k where k is a constant and x=4 when y=2 then find x when y=-6
What does the : between the factor mean? (2x-3) : (y+4)=k Multi[lication?
If so, substitute 4 for x and 2 for y to get
(2*4-3):(2+4)=k = 5*6
Then solve for x in
(2x-3):(-6+4)=30
If it means something else please post what it means.
It is suppose to be a ratio (:)
Ok, then solve
If so, substitute 4 for x and 2 for y to get
(2*4-3):(2+4)=k = 5/6
Then solve for x in
(2x-3):(-6+4)=5/6 or
2x-3 = 5/6 * -2 = -5/3
Thank-you so much. That's all I have to ask. You were a huge help.
Plugging it in:
(8-3):(2+4) = 5:6
So,
(2x-3):(-6+4)
becomes
(2x-3):(-2)
-2/6 = -.33333
2x-3 = -.33333
2x = 2.66666
x = 1.33333
I'm not sure if this is what the question is asking, but if it's saying that k is a constant whose ratio is always 1:6, then x should be the above answer. I hope I helped.
To find the value of x when y is -6, you can use the given equation and the value of k that you found.
First, substitute the given values x=4 and y=2 into the equation to find the value of k:
(2x-3):(y+4) = k
(2*4-3):(2+4) = k
(8-3):(6) = k
5:6 = k
Now, you can use this value of k to find x when y is -6:
(2x-3):(y+4) = k
(2x-3):(-6+4) = 5:6
Simplify the expression on the left side:
(2x-3):(-2) = 5:6
Since the ratio of the left side is equal to the ratio of 5:6, you can set up an equation:
(2x-3)/(-2) = 5/6
To solve for x, multiply both sides of the equation by -2:
2x-3 = (5/6) * -2
2x-3 = -(5/3)
Add 3 to both sides of the equation:
2x = -(5/3) + 3
2x = -(5/3) + (9/3)
2x = 4/3
Divide both sides of the equation by 2:
x = (4/3) / 2
x = (4/3) * (1/2)
x = 4/6
x = 2/3
Therefore, when y is -6, x is equal to 2/3.