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Maths
GCSE

What fractions are equivalent to 1/4?

3/12, 2/8. To identify fractions which are equivalent to one another, you need to identify the common multiple of both the denominator and numerator and then simplify. When a fraction is equivalent to one...

KN
Answered by Konstantin N. Maths tutor
3433 Views

Solve algebraically: 6a + b = 16 ..... 5a - 2b = 19

first equation: 6a + b = 16     second equation: 5a - 2b = 19    from 2 times first equation + second equation 17a = 51 meaning a = 3

.... from the first equation 6(3) + b = 16 therefore b = - 2

BC
Answered by Benjamin C. Maths tutor
2839 Views

Express 160 as a product of its prime factors

Divide 160 by 2 as many times as you can to get 80x2, 40x2x2, 20x2x2x2, 10x2x2x2x2, 5x2x2x2x2x2. Then re-write your answer so that it is 5x2^5. If you're struggling to divide by 2 and keep track of how ma...

RK
Answered by Rachel K. Maths tutor
36427 Views

Use factorisation to solve the equation x^2+5x+6=0

As we are considering a quadratic equation, we are looking for two values of x that make the equation equal to 0. To factorise, first look to the constant term (the term without any x) to find 2 numbers t...

NC
Answered by Niamh C. Maths tutor
2972 Views

Solve 7x-4=8+5x

First bring all the x terms to one side by taking 5x from each side, this gives 2x-4=8. Now put all the number terms on the other side by adding 4 to each side, this gives 2x=12. We can now divide both si...

AM
Answered by Angus M. Maths tutor
3357 Views

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