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Solve the simultaneous equations 3x + y = -4 and 3x - 4y = 6

When solving simultaneous equations our goal is always to use the equations given, which each have two unknowns in them, in order to find an equation with only one unknown. In this example, we can see tha...

SE
Answered by Sofya E. Maths tutor
20478 Views

If A is divided by B, the result is 5/7. If B is divided by C, the result is 4/5. What is the result of A divided by C ?

A=5 when B=7, B=4 when C=5. (Using Ratios, 5:7 & 4:5)
Knowing the relationship between both A & C with B means that we can find the relationship between A&C themselves. (A=5, B=7)*4 ; ...

IA
Answered by Inez A. Maths tutor
3243 Views

Show, by first principles, that the differential of x^2 is 2x.

First I would draw a Diagram of y=x2 on the x and y plane, for x>0. Then label a generic point as (x,y), then noting that as y=x2 we can then equate the sane point to (x, x2...

KJ
Answered by Kieren J. Maths tutor
3346 Views

Solve the simultaneous equation: 2x + y = 18 and x−y=6

Check to see if the number in front (coefficient) of either the x's or y's is the same. In this case both the y's have the same coefficient so we do not need to make them the same.We are going to add the ...

CK
Answered by Chelsea K. Maths tutor
4661 Views

Find the stationary points of the function f(x) = x^3+6x^2+2 and determine if they are local maximums or minimums.

A stationary point is defined as a point on the function where the gradient is zero, i.e f'(x) = 0. To construct this equation we must differentiate the function, we would find f'...

LS
Answered by Luke S. Maths tutor
5127 Views

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