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In order to solve this set of simultaneous equations, we will rearrange each equation to use substitution. The aim of this problem is to find out what the value of x and y is. Let's rearrange equation ...

A quadratic equation is an equation of the form y = ax² + bx + c where a, b and c are constants (for example 5, -2 or 0). To "solve&qu...

(√12 + √3) squared is just (√12 + √3) mulitipled by itself, so we can rewrite this as

(√12 + √3)*(√12 + √3)

Now we expandthe brackets.

We can mulitply out the ...

So we can always substitute the right terms into the quadratic formula. However, there might be a quicker way. Lets try and see if the quicker ways work.Firstly, we need to spot weather the difference of ...

The general approach to solving simultaneous equations is to replace the ‘y’s in one equation with ‘x’s, or the ‘x’s with ‘y’s.

In this case, we can first take the equation 5x + y = 4 and rear...