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dy/dxfirst principal

5x+y=215x-15y=45
16y = -24 y = -1.5
5x -1.5 =215x=22.5x=4.5

Price list:Pencils - 10p Rulers - 30pWe know Gemma would like to buy an equal number of pencils and rulers. Therefore we can call this a 1:1 ratio. Using the price list we can see that 1 ruler and 1 penci...

Initially solve for the longer spans through simultaneous equations;5x-12y+16=5y-4x+20Simplify equation;9x-17y-4=0Repeat for the shorter spans;2x-4y+4=3x-2y-12Simplify equation;x+2y-16=0Make x the subject...

i) 3 is the only prime number (be careful not to say 1, because 1 is NOT prime)
ii) 9 is the only square number
iii) 24 is the only multiple of 4