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Maths
GCSE

Solve the simultaneous equations: y=5-x and y=x+1.

Since y is equal to both 5-x and to x+1, we know that 5-x is equal to x+1. We can write 5-x=x+1. Take 1 away from each side: 4-x=x. Then add x to each side: 4=2x. Divide both sides by 2: 2=x. Now we have ...

CW
Answered by Charlotte W. Maths tutor
18136 Views

Work out 51% of 400? (No calculator)

Finding 51% of 400 is the same as finding 50% of 400, and 1% of 400, and adding them together. Finding 50% of a number is the same as finding half of the number, since half of 100% is 50%. Half of 400 is ...

CW
Answered by Charlotte W. Maths tutor
23719 Views

Sketch a graph of the equation of y=2x+5

From the format of the equation which is y=mx+c you can tell that it is a straight line graph. in the equation m means gradient which in this question is 2 and c is the y-intersect which in this question ...

IA
Answered by Iebad A. Maths tutor
9565 Views

Show that n²-n-90=0

FULL QUESTION: here are n sweets in a bag. Six of the sweets are orange. The rest of the sweets are yellow. Hannah takes a sweet from the bag. She eats the sweet. Hannah then takes at random another swee...

VM
Answered by Vihaan M. Maths tutor
10178 Views

Write x^2 – 10x + 12 in the form (x – a)^2 + b , where a and b are integers.

This is a past exam question from a real GCSE paper, and is an example of "completing the square." I will show you 4 steps for answering this question. ¬¬¬ The first step is to check whether the...

EY
Answered by Emily Y. Maths tutor
26643 Views

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