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Maths
GCSE

Solve this simultaneous equation: 5x+6y=3 and 2x-3y=12.

Firstly, I will provide a mark scheme and then a full explanation underneath. 5x+6y=3. (1) 2x-3y=12. (2). (5x+6y=3)+(2(2x-3y=12)). (5x+6y=12)+ (4x-6y=24). 9x=27. x=3. Put x is (1) 5(3)+6y=3=15+6y=3. 6y=-1...

AM
Answered by Ashni M. Maths tutor
12518 Views

solve this equation: 4(x-5)=x+7

Firstly, I will provide a 'mark scheme' type answer.

Then there is a full explanation available underneath.  4 (x-5)=x+7. 4x-20=x+7. 3x=27. x=9. A full explanation: 4(x-5)=x+7 (expand the equation ...

AM
Answered by Ashni M. Maths tutor
10984 Views

How do I find the equation of a line that is perpendicular to another line?

Okay so let's say that the equation of the line you are given is y=2x+3 and you are told this new line must pass through the coordinates (2,4). The first thing we need to do is check we understand every b...

EH
Answered by Evie H. Maths tutor
3508 Views

Sam uses 140g of flour to make 12 cakes. How much flour will Sam need to make 21 cakes?

140 / 12 = 11.666^.

11.66^. * 21 = 245

CN
Answered by Charlie N. Maths tutor
3689 Views

Question: What proportion of the clock is the area covered when the time is 12:10? (Here the question should indicate the time stated and shade in the proportion of the clock to be computed.)

The key to answering this question is for the student to realise that even though the area to be computed is a difficlut shape (an arc), the clock consists of 5 more arcs of the same shape. Once the stude...

AV
Answered by Annita V. Maths tutor
3703 Views

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