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Firstly, we define a tangent as a straight line touching a curve at 1 point only.We can describe a straight line using this linear relation:y - y₁ = m.(x - x₁)We know a point on this...

Two ways of doing this, substitution and elimination. Could teach both so students choose which they prefer
Substitution;change the second equation into x=3y+9 then substitute it into the first equat...

4(x + 3) = 2x + 8The first step in solving this equation is to expand the brackets on the left hand side. A bracket means that the contents of the bracket should be multiplied by whatever is outside of th...

2x + 14 = 18Whatever you do on one side, e.g. LHS, you do the same on the RHS.-14 from both sides 2x + 14 (-14) = 18 (-14)2x = 4To get x by itself you need to divide it by 2. so you divide LHS and RHS by ...

And integer is a whole numberLet the integer = 2X meaning it is even and the next number is (2X+1) making it oddTherefore the sum of the two consecutive integers is2X + 2X + 1=4X+1As this cannot be factor...