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Maths
GCSE

Given X + 3Y = 19 and 2X - Y = 10, find X and Y

This is a simple simultaneous equationFirst we multiply the second equation by 3 to get 6X - 3Y = 30Then we add the first and second equation together to get 6X + X +3Y - 3Y = 30 + 19which we simply to 7X...

GV
Answered by Guillermo V. Maths tutor
3006 Views

Make a the subject of the formula p = (3a + 5)/ (4 - a)

We start by multiplying both sides of the equation by (4 -a). We then expand the brackets "p.(4-a)" and end up with "4p - pa". We then gather the "a's" to one side of the equ...

JP
Answered by Juliana P. Maths tutor
3938 Views

Expand and Simplify (2x+3)(3x-3)

First, take the 2x and multiply each term in the second bracket by it to give 2x.3x=6x2 and 2x.-3= -6x. Then multiply each term of the second bracket by +3 to give 3.3x= 9x and 3.-...

CK
Answered by Charlie K. Maths tutor
5987 Views

ABC, DEF and PQRS are parallel lines. BEQ is a straight line. Angle ABE = 60° Angle QER = 80° Work out the size of the angle marked x. Give reasons for each stage of your working.

Angles ABE and EQR are alternate interior angles. This means they are the same thus angle EQR = 60˚. We know that the sum of the interior angles of a triangle is equal to 180˚ and we know that angle QER =...

JP
Answered by Juliana P. Maths tutor
7107 Views

Solve this set of simultaneous equations: 5x+3=3y 9x+9=6y

Firstly, you need to understand that the two equations are interlinked, therefore the x and the y variables are the same values in both equations. To make things easier, we can number both equations. What...

RJ
Answered by Ryan J. Maths tutor
2696 Views

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