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This question can be answered by the elimination method, substitution method or graphically. I find the elimination method easiest, especially when you can see that the coefficient of a variable (in this ...

First of all, you want to get all your data in the same units, so either in pounds or kg. Here, as you are told that 1kg = 2.2 pounds, it seems easier to convert the amount of potatoes from 30kg into poun...

First, we need to separate the RHS as components of U and V. Using the LATE (logarithms, algebra, trigonometry, exponentials) technique, we see that logarithms have priority to algebra hence U = lnx and d...

Considering that x(x+4) = x^2+4x, and having that the derivative of the sum is the sum of the derivatives.

dx/dy x^2 = 2x and dx/dy 4x = 4 , then dx/dy x(x+4) = 2x+4

Method 1 (Elimination) -

You can see that If you add the 2 equations together you can eliminate the y variable like so 6x=12, then if you divide both sides by 6 you get x=2. Then if you place x=2 b...