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Make x the subject of the formula 3(2x – y) = ax – 4

Making x the subject of the formula means putting it into the form x = ..... As we can see there is an x on either side of the equation and brackets on the left side. Firstly according to BIDMAS we should...

JQ
Answered by Joseph Q. Maths tutor
3878 Views

Aditi, Becky and Cali collect coins. Aditi has 6 more coins than Becky. Cali has 1 less coin than Aditi. Altogether they have 71 coins. How many coins do they each have? Show all your working.

Form 3 equations. Equation 1: A= 6+ B.Equation 2 : C= A-1. Equation 3: A+ B+ C= 71.Substitute equation 1 and 2 into 3 to get: 6+ B + B + A - 1= 71 -> 2B + A= 66 which is equation 4. Then, substitute eq...

KS
Answered by Kelvin S. Maths tutor
6791 Views

Differentiate the equation y = (2x+5)^2 using the chain rule to determine the x coordinate of a stationary point on the curve.

Use the chain rule as this is a composite function. Let u=2x+5.So the original equation becomes y=(u)^2.Using the chain rule: dy/dx = dy/du * du/dxdy/du = 2udu/dx = 2So dy/dx= 4uSince u=2x+5, dy/dx = 4(2x...

DP
Answered by Daniel P. Maths tutor
4908 Views

How do you solve simultaneous equations?

There are two main methods:Substitution and elimination which can be demonstrated on the white board.

AC
Answered by Adham C. Maths tutor
2585 Views

Show that 2sin(x) =(4cos(x)-1)/tan(x) can be written as: 6cos^2(x)-cos(x)-2=0

Rearranging gives:4cos(x)-1 = 2sin(x)tan(x) Substituting in tan(x)=sin(x)/cos(x) gives:4cos(x)-1 = 2sin(x)(sin(x)/cos(x))2sin2(x)=4cos2(x)-4cos(x)Substituting in 2sin2<...

OT
Answered by Olivia T. Maths tutor
16194 Views

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