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Solve the simultaneous equations for x and y: 3x+3y=5 and 6x+5y=9

3x+3y=5 6x+5y=9Multiply the first equation by 2 to get a workable x coefficient:6x+6y=10Write the equations above each other and subtract them:6x+6y=10 - 6x+5y=9 y = 10-9y = 1 By substituting your answer for...
JC
Answered by Joe C. • Maths tutor
3847 Views

Find the coordinates of the point of intersection between the line L:(-i+j-5k)+v(i+j+2k) and the plane π: r.(i+2j+3k)=4.

By inspection we can tell that the line and the plane are not parallel. Since the dot product between the direction vector of the line with the perpendicular vector of the plane was not equal to 0 (i.e. b.n≠...
LV
Answered by Liam V. • Maths tutor
3925 Views

Expand (x+6)(x-3)

There are 2 handy ways of remembering how to do these questions, so I'll show you both and you can tell me which you like best. What's important to remember is to make sure you times everything in the first ...
TU
Answered by Tom U. • Maths tutor
12631 Views

How do I implicitly differentiate and why does it work? (Assuming understanding of differentiation)

Implicit differentiation can be used when you are asked to find dy/dx of a function that has not been written as y=f(x) e.g. y = x^2 - 1, and which cannot be rearranged as such. We can use the equation of a ...
SO
Answered by Sorcha O. • Maths tutor
4301 Views

Find dy/dx when y = (3x - 1)^10

The question is asking us to find the first derivative of the function (y) with respect to x terms.y = (3x -1)^10We start by taking the superscript 10 down to the front, and multiply this by the 3 (as per st...
OF
Answered by Olivia F. • Maths tutor
7363 Views