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24.50/7 = £3.50 - price of 1 ticket 

63/3.50 = 18 - number of tickets bought total 

18 - 7 = 11 

Lets take this as an example:

Simplify 5a - (2a + 6)

To 'simplify an equation' means to put it at its most basic form

To make it easier for us, we can place a 1 infront of the bracket...

Factorise the quadratic by finding two numbers that add to make -7 and multiply to make 10. (i.e. -2 and -5). So x^2  -  7x +  10 = (x - 2)(x - 5) </= 0. Sketch the quadratic to see where it is negativ...

Suppose we have two vectors U(a1,b1) and V(a2,b2). Hence, the distance between U and V will be given by the formula: d=sqrt((a1-b1)² + (a2-b2)²)

Step 1 : First we multiply both sides by 4, this is to eliminate /4 on the lhs(left hand side), and then we multiply the rhs(right hand side) by 4, this gives us (11-w) = 4(1+w) which is then equeal to 11...