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Solve these pair of simultaneous questions: 3x+2y=17 4x-y=30

Let's solve for x first by substituting y in terms of x.

4x-y=30

y=4x-30

3x+2y=3x+2(4x-30)=3x+8x-60=11x-60

11x-60=17

11x=77

x=7

Now let's solve for y by su...

JY
Answered by Jin-Ho Y. Maths tutor
4354 Views

When finding the turning points of a curve, how can I tell if it is a maximum, minimum or a point of inflection?

To find the turning points of a curve one must find the values of x which satisfy dy/dx = 0. To further determine what type of turning point this is you need to compute the second derivative with respect ...

BS
Answered by Ben S. Maths tutor
10181 Views

Solve the simultaneous equations. x^2 + y^2 = 29. y-x = 3

The 2 equations are: 1) x2 + y2 = 29 2) y-x=3 In this kind of simultaneous equation, you cannot take it away from each other. Instead, you need to substitue. To do so, rearrange the ...

PS
Answered by Pallave S. Maths tutor
13691 Views

How do I use the bow-tie circle theorem?

To explain this question, I would first draw a digram of a circle. Then I woud add a chord and create triangles with vrtices at the circumference of the circle which all have the chord as a base. Next, I ...

IT
Answered by Ivana T. Maths tutor
7430 Views

Using the following quadratic equation, find x: x2 + 3x -4

x2 +3x -4. (x + a) (x - b) x has no co-efficient so each is 1 x.  next find two numbers with a product of -4 and a sum of +3.  cannot be 2,2 as these numbers have a sum of -4, 0 or +...

JC
Answered by Jake C. Maths tutor
3993 Views

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