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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 substituting x for 7 3x +2y=17 3(7)+2y=17 21+2y=17 2y=...
JY
Answered by Jin-Ho Y. • Maths tutor
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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 to ...
BS
Answered by Ben S. • Maths tutor
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Solve the simultaneous equations. x^2 + y^2 = 29. y-x = 3

The 2 equations are: 1) x 2 + y 2 = 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 2nd equation to make x ...
PS
Answered by Pallave S. • Maths tutor
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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 wou...
IT
Answered by Ivana T. • Maths tutor
8707 Views

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

x 2 +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 +4 depending on whether the...
JC
Answered by Jake C. • Maths tutor
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