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Solve the simultaneous equations: 3x + y = 15 and 4y + 3 = 9x

The best way to solve simultaneous equations is by substitution. The first step is to pick a variable to eliminate. In this case, I'm going to choose to eliminate y because the first equation has a y on it's...
SB
Answered by Samuel B. • Maths tutor
5396 Views

I don't understand, what do you use sin, cos and tan for?

Sin, cos and tan are functions that help you work out either, the missing angle or one of the missing lengths of a side in a right angle triangle.To work out the missing angle you need two side lengths, depe...
JD
Answered by Joe D. • Maths tutor
3833 Views

Rearrange the formula to make a the subject: b = (2a + 5)/3

b = (2a + 5)/3 Step 1 - Multiply both sides by 33b = 2a + 5Step 2 - subtract 53b - 5 = 2aStep 3 - divide by 2(3b - 5)/2 = a
AB
Answered by Annie B. • Maths tutor
5086 Views

The curve C has the equation ye ^(–2x) = 2x + y^2 . Find dy/dx in terms of x and y.

differentiate both side with respect to x : (dy/dx)e^(-2x)+y(-2e^(-2x)) = 2+2y(dy/dx) rearrange it : (-2y+e^(-2x))(dy/dy) = 2 + 2ye^(-2x) ==> dy/dx = ( 2 + 2ye^(-2x) ) / ( -2y+e^(-2x) )
JC
Answered by Jimmy C. • Maths tutor
5865 Views

Over a year, the number of rabbits in a field increases by 25% and then by a further 30%. Originally there were 200 rabbits in the field how many were there at the end?

Originally the number of rabbits was 200. We therefore need to find 25% of 200 and then increase the value of 200 by the 25%, we will then know how many rabbits there are after the 25% increase. 25/100 x 200...
AE
Answered by Alba E. • Maths tutor
3521 Views