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Find a solution for the following simultaneous equations: 2x+y=5 and 2x-5y=2

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
DC
Answered by Darshil C. • Maths tutor
3982 Views

How would you differentiate a function such as 4x^3

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 become m...
AW
Answered by Adam W. • Maths tutor
4319 Views

How do you factorise?

Factorising basically means put whatever equation you are given into brackets. So, E.g. x 2 + xFirst you want to look for a common factor which here is X. Therefore, the answer would be x(x+1).To check this ...
LD
Answered by Lydia D. • Maths tutor
3669 Views

Johnny take 4 hours 50 minutes to drive 213 miles to Manchester. He then takes the train to Liverpool. Liverpool is 37 miles from Manchester and the train travels at 90mph. Calculate Johnny's average speed for his total journey in mph.

Total journey average speed = (total distance travelled ÷ total time taken).Total distance travelled = 213 miles + 37 miles = 250 milesTotal time taken (hours) = 4 + (50 ÷ 60) + time from Manchester to Liver...
SW
Answered by Steven W. • Maths tutor
3738 Views

The equation of the line L1 is y = 3x – 2 The equation of the line L2 is 3y – 9x + 5 = 0 Show that these two lines are parallel.

L1 is in the form y=mx+c where m is the gradient, 3.L2 can be rewritten as 3y=9x-5, then y=3x-(5/3) to reach y=mx+c. So, the gradient of L2 is 3.Therefore, both lines are parallel.
JW
Answered by Joe W. • Maths tutor
5270 Views