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Here the best method to use will be elimination since using a substitution for x or y may produce some nasty fractions. The first thing to look for is that the 2x and 4x are nice multiples of each other. ...

For this we will use the FOIL Method. This stands for Front, Outside, Inside, Last. This helps us to check that we have multipled everything. For example, lets use (x+1)(2x+3): Multiply the first terms: x...

Solve for x, between 0 and 360 degrees, 4cos² (x) + 7sin (x) – 2 = 0 The way to approach this problem is to understand th...

(4x + 3)/(x + 1) + 2 = 8

Firstly minus the 2 from both sides

(4x + 3)/(x + 1) = 6

Then multiply both sides by the denominator (x + 1)

4x + 3 = 6(x + 1)

Expand the bracke...

The equation of a circle is (x-a)^2 + (y-b)^2 = r^2, where (a,b) is the centre of the circle, and r is the radius. To condense our equation into this form we have to use the technique of completing the sq...