2.50x + 1.75y < or = to 15
y < or = 1.43x + 8.57
y = 8.57
I'm having a brain cramp and trying to find x has been a lost time tonight. Plese help what is x
The second inequality can be derived from the first one.
The third statement, y=8.57, does not follow from the second. Is it independent information that you were given?
If y=8.57, then
8.57 <or= 1.43 x + 8.57
0 <or= 1.43 x
x >or= 0
Based on the given information, we have the inequality 2.50x + 1.75y ≤ 15.
To solve for x, we need to isolate it on one side of the inequality.
First, let's simplify the inequality:
2.50x + 1.75y ≤ 15
We can subtract 1.75y from both sides:
2.50x ≤ 15 - 1.75y
Next, divide both sides of the inequality by 2.50 to isolate x:
x ≤ (15 - 1.75y) / 2.50
Now, if we have additional information that y ≤ 1.43x + 8.57, we can substitute this into the inequality:
x ≤ (15 - 1.75(1.43x + 8.57)) / 2.50
Now, let's simplify this further:
x ≤ (15 - 2.5025x - 15.0075) / 2.50
Combine like terms:
x ≤ (-2.5025x - 0.0075) / 2.50
Multiply both sides by 2.50 to eliminate the fraction:
2.50x ≤ -2.5025x - 0.0075
Add 2.5025x to both sides:
5.0025x ≤ -0.0075
Divide both sides by 5.0025 to solve for x:
x ≤ -0.0075 / 5.0025
Simplifying further:
x ≤ -0.0015
So, according to the given information and the inequality provided, x is less than or equal to -0.0015.