c) the solution for both p and d must be a positive integer.
Look at your second equation.
The left side is an even number, (anything multiplied by either 2 or 4 is even)
so you would have an even number equal to an odd number, which cannot be.
If you try to solve the system with the 2nd equation equal to 83, you would end up with a fraction as a solution. How can you have a fraction of a parrot or a fraction of a dog?
d) changing the 82 to 83 does not change the slope of the line, it simply raises the line parallel to itself.
The "nice" intersection point consisting of whole numbers now moves up as well, "wrecking" our nice numbers.
Equation 1: 2p + 4d = 82
Equation 2: p + d = 24
Now you have to isolate a pronumeral from equation 2. For example:
Equation 3: d = 24 - p
Now you know what the value of 'd' is, you then substitute that into equation 1.
Which will equal:
2p + 4(24-p) = 82
2p + 96 - 4p = 82
-2p = -14
p = 7
Now that you know how many Parrots there were you simply just substitute into any of the equations.
Therefore d = 17 & p = 7
Note: if you have done simultaneous equations it would make more sense.
Hope this helps! :)
Answer this Question
Anatomy/Biology-Please check - I'm posting this again today hoping someone can ...
English - My favorite Pet My favorite per in the shop is a parrot, It is green ...
MATH HELP - The south edmonton pet shop has several parrots and dogs for sale. ...
Algebra - I posted this earlier but it didn't get answered. So I'm posting it ...
chemistry - hi, Can you please double check to see if i have got this right? Is ...
Pre-Calculus - I posted earlier and didn't get an answer so I'm posting again-...
Science-PsyDAG - PsyDAG, could you please check my post on that science ...
Romeo and Juliet Help (24 hours and no response) - I posted questions yesterday ...
Algebra - I posted this last night but it didn't get answered. So I'm posting it...
Physics - Two trains, one starting in Calgary and the other in Edmonton, travel ...