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Maths
GCSE

Solve this pair of simultaneous equations: 3x + 2y = 4 and 2x + y = 3

2x + y = 3   therefore  y = 3 - 2x

Substitute y = 3 - 2x in to the first equation:

3x + 2(3 - 2x) = 4

3x + 6 - 4x = 4

-x = -2   therefore x = 2

Substitute x = 2 in to ei...

TC
Answered by Tim C. Maths tutor
5508 Views

Solve x² - 3x - 2 = 0

To complete the square for the equation ax² + bx + c = 0 there are three steps.. 1. In order to complete the square, we need to take the first two parts of the quadtratic equation, and put them in the for...

NM
Answered by Natalia M. Maths tutor
9316 Views

Use the equation 2(x+4) + 6(x-1) = 14, to find x.

Firstly, you need to get rid of any brackets. You do this by expanding them. This becomes 2x + 8 + 6x - 6 = 14.

The next step is to get all the x's on one side, and all the numbers on the other. Yo...

UR
Answered by Ursula R. Maths tutor
3081 Views

Solve the simultaneous equations (1) x + 3y = 7 and (2) 2x + y = 4

It's impossible to solve an equation with two unknowns (x and y) so we must find a way to get rid of either x or y before solving an equation. Using substitution rearrange the equation 1 so x is the only ...

SS
Answered by Simon S. Maths tutor
3989 Views

64% of an audience are female. Work out the ratio females : males Give your answer in its simplest form.

64% are female. This 64% out of 100%.

36% are male  

So the ratio is 64 : 36 or 32 : 18


Can then be simplified to 16 : 9

JQ
Answered by Jordan Q. Maths tutor
3110 Views

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