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Solve the simultaneous equations: x + 3y = 26 and x - 3y = -22

You want to try and get rid of one of the letters from the equations. To do this you need to add a certain number of one equation into the other so that one of the letters cancel out. In the question above f...
MR
Answered by Matt R. • Maths tutor
4011 Views

What do the interior angles in a hexagon add up to?

I would first ask the student to draw out a heptagon to check if they know what the shape is. (white board - drawing shape) Next i will ask them to start at one edge of the shape and ask them to draw a line ...
MK
Answered by Muhammad K. • Maths tutor
5543 Views

Write 2-(x+2)/(x-3)-(x-6)/(x+3) as a single fraction of ax+b/x^2-9. What is a and b?

Multiply according terms so that the denominators are the same for all fractions. [2(x-3)(x+3)/(x-3)(x+3)]-[(x+2)(x+3)/(x-3)(x+3)]-[(x-6)(x-3)/(x-3)(x+3)]Expand out the brackets: 2x 2 -18-x 2 -5x-6-x 2 +9x+1...
NS
Answered by Nicholas S. • Maths tutor
10349 Views

Show that (𝑥 − 1) is a factor of 𝑓(𝑥)=2𝑥^3 + 𝑥^2 − 8𝑥+ 5. Hence fully factorise 𝑓(𝑥) fully.

For the show that part of the question simply substitute all the 𝑥's in 𝑓(𝑥) with 1, as the factor 𝑥 − 1 means that 𝑥 - 1 = 0 therefore 𝑥 = 1. Once substituted in solve the equation and show that it is equal...
CB
Answered by Charlotte B. • Maths tutor
3025 Views

Solve 3x+7=8

First we would rearrange so that all non variables are on one side, so it becomes 3x=-1The dividing both sides we get:x=-1/3
DP
Answered by Darshan P. • Maths tutor
3177 Views