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Maths
GCSE

Solve the simultaneous equations 7x - 2y = 22 and 5x + 3y = 29

So we're going to solve this question using the elimination method. Now we can see that none of the x or y terms are the same in the 2 equations, so we have to make them the same. The easiet way to do thi...

Answered by Raina B. Maths tutor
4545 Views

How do I form an algebraic fraction into a single fraction in its simplest form?

When starting with a fraction with 2 individual components, before any addition, subtraction or simplification can take place, the first step will be making them both having the same denominator. Once you...

Answered by Axel S. Maths tutor
6876 Views

In a bag of 25 coloured balls, 7 are orange, 6 are yellow and the rest are green. Laura picks out a ball and records its colour but doesn't return it to the bag, she then repeats this twice more. What is the probability of Laura getting 3 yellow balls?

Answer: 1/115

The easiest way to solve this problem is to draw part of a tree diagram to see the probabilites of each colour being picked each time Laura pulls a ball out of the bag (a full diagram...

Answered by Manon S. Maths tutor
2695 Views

How do I rationalised and simplify surds?

Say I have a fraction with 2 surds, such as √10 / √6. To rationalise this, we need to get the dominator (bottom fraction) to be an integer. As √10 / √6 x 1 still gives √10 / √6, and we can write 1 as √6 /...

Answered by Tabitha G. Maths tutor
3869 Views

Ian earns £420 a week after a 5% rise. What was his pay before?

Ian had a 5% rise, so £420 = 105% of his original pay 

To find 1% of his original earnings, divide £420 by 105.

Multiply this by 100 to find his old pay: 
1% of his original earnings =...

Answered by Haris S. Maths tutor
6429 Views

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