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Lets first give the equations names.

4x+y=25 (A)

x-3y=16 (B)

We want to get the equations so that they have either the same number of x's or same number of y's. So let's multiply equa...

First step is to realise that as x=3 is a root of f(x)=0, then we can use (x-3) as a factor of f(x). A really good method to use to find what (fx)/(x-3) gives is Synthetic Division. Using this method we t...

Given the equation of the straight line is: x+y=9 and the equation of the circle is: (x-2)²+(y-3)²=16 , find the point or points of intersection? The equation x+y=9 can be rearranged...

Start the integration by parts process

|udv = uv - |vdu

  u = (ln x)²             dv = x⁷ dx

du = 2(ln x)/x dx         v = 1/8 x⁸

We know that the equation of the area of a rectangle is width times by length. Therefore:

8=(3x+1)(2x+5)

If we multiply out the brackets we get:

8=(6x²+2x+15x+5), thus, 8=6...