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Surds can be simplified if the number in the square root has a square number as a factor. It is also worth remembering that SQRT(ab) = SQRT(a) x SQRT(b). So if you combine these two points, lets look at h...

Rearrange equation 2 to make y the subject, then substitute the y expression into equation 1 and collect like terms: 3x+y=9 -->> y=9-3x x+3y=11 -->> x+3(9-3x)...

Firstly you check to see if there is a coefficient to the x² term, in this example there isn't so we know that both the brackets will have a single x in, (x +  )(x +  ). We also know both the s...

We know that to complete the square we put the equation in the form (ax+b)^2+c=0. So we must do that to our equation.

We will begin by establishing what will be within our squared brackets. As ther...

aw + 3 = 4(bw + 5)    Let's get rid of those brackets...
aw + 3 = 4bw + 20    Now we rearrange...
aw - 4bw = 17        Factorise...
w(a - 4b) = 17        Final rearrange...
w = 17 ...