Search over 10,000 free study notes

Subtract the 2nd equation from the first: 2x--2x+y+6y=5-2 <=> 7y=3 <=> y=3/7Input the value of y into one of the equations: 2x+3/7=5 <=> 2x=(35-3)/7 <=> x=16/7

The general rule for differentiating functions such as 4x^3 is called the power rule.This formula goes by dy/dx of [x^n] = nx^(n-1)Now this may seem complicated but with examples hopefully it should becom...

Differentiation is a mathematical operation which we can use to study how one quantity, such as the distance travelled by a train, is affected by another quantity, such as time. For example, if the train ...

Factorising basically means put whatever equation you are given into brackets. So, E.g. x² + xFirst you want to look for a common factor which here is X. Therefore, the answer would be x(x+1).T...

Total journey average speed = (total distance travelled ÷ total time taken).Total distance travelled = 213 miles + 37 miles = 250 milesTotal time taken (hours) = 4 + (50÷...