If you mean 2x-15y 0, then y (-2/15)x and dy/dx -(2/15). If you mean something else, you need to clarify the expression 3y5.
3y^3(y - 4)(y + 4)
This system is inconsistent. There is no solution. 2x - 3y = 5 -6x + 9y = 12 Multiply the top equation by 3: 6x - 9y = 15 add the two equations together: 6x - 6x - 9y + 9y = 5 + 12 0 = 17 Which is a contradiction. Therefore the lines never intersect, and the solution is the empty set.
That they are both algebraic expressions because they do not contain any equality signs.
Unfortunately, the browser used for posting questions does not accept most mathemetical symbols so it is not posible to answer the question as it appears. Please resubmit it using words, such as "plus", "minus", "to the power". Also, use open and closed brackets or parentheses since x plus y squared could mean x + y2 or (x + y)2.
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals", "squared", "cubed" etc. Please use "brackets" (or parentheses) because it is impossible to work out whether x plus y squared is x + y2 of (x + y) 2.
Assuming the given is written as: 4y/6y6=20 First off, this can be simplified down to: 2/3y5=20 Since this is an indirect proof, we must first assume the opposite of what you are trying to prove. You are trying to prove that y is not equal to -1. Let y=-1 If this was done, then the following substitution would be made: 2/3(-1)5=20 2/3(-1)=20 2/(-3)=20 -2/3 =20 Clearly, -2/3 does not equal 20. Since y=-1 causes a mathematically impossible statement, then y cannot equal -1. As far as formatting it for a formal indirect proof, I'm no help there. Different teachers like different formatting.