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We are going to try to eliminate one of the variables in one of the equations. This can be done by rearranging the second equation to x=20-4y. And then substituting x into the first equation.3x+2y=20 =>...

We need to convert the number 67,854 (XX,XXX) to the form XX,000. We need to round it to the nearest thousand. The digit for the thousand is 7, so we move on to the digit on its right, which is 8.Now, if ...

x³-x=x(x²-1)=x(x+1)(x-1)

First we want to calculate the derivative of y. To do this we use the product rule:If we rewrite y as y = uv, then dy/dx = vdu/dx + udv/dx.Here, we have u = x and v = cos(x).That means du/dx = 1 ...

Equation 1: 2x + y = 14 Equation 2:   4x - y = 10

Add the two equations together to get 6x = 24. Therefore x = 4.

Then substitute the value x = 4 into equation 1 and solve. ...