I hope this helps you! it's relatively straightforward but if you need more explanations, don't hesitate to ask!
Answer:
P = 8
Step-by-step explanation:
Given that P varies inversely with x then the equation relating them is
P = 
← k is the constant of variation
To find k use the condition P = 7 when x = 8 , then
7 = 
( multiply both sides by 8 )
56 = k
P = 
← equation of variation
When x = 7 , then
P = 
= 8
I would solve the first equation for x and then sub that value into x in the second equation. That's the easiest way. x - 2y = 3 solved for x is x = 2y+3. Now sub that in for x in the second equation: 5(2y+3)+3y=2 and 10y + 15 + 3y = 2. 13y = -13, and y = -1. Now sub that y value into either equation to solve for x: x = 2(-1) + 3 gives us an x value of x = 1. Therefore, your solution to this system is (1, -1), first choice above.
The transformation is done to y=1/x to get y=1/4x-12. We defined a turning point in the equation which will indicate the point in the graph.
We changed the form from y=x to y=x+c. In this case, we use 1/2 for the and constant C value which is -12.
