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Maths
GCSE

Solve the simultaneous equations: 2x + 3y = 28 and x + y = 11

As the number of equations is the same as the number of unknowns, there is exactly one solution!We start by labelling the two equations:2x + 3y = 28 (1)x + y = 11 (2)There is more than one way to approach...

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Answered by Harry H. Maths tutor
12156 Views

The normal price of a television is £1200. It is reduced to £970. Work out the percentage reduction. Give your answer to 1 decimal place.

First we calculate the difference between the original price and the new price. This is £1200 - £970 = £230. We now divide this difference by the original price, and multiply it by 100 to find the percent...

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Answered by Harry H. Maths tutor
14885 Views

How can you find the integral of x^-1

The traditional rule for integration of a variable raised to a power is to raise the power by 1 and divide the answer by that new exponent. However, this rule leads to an answer of x^0 = 1, which can't...

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Answered by Angus L. Maths tutor
59607 Views

Write 825 as a product of its prime factors.

Prime factors are numbers that can only be fully divided by itself and 1.

For example, 2, 3 and 5 are prime numbers since they can only be divided by itself and 1. However, 6 is not a pri...

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Answered by Ewan V. Maths tutor
18782 Views

Using factorization, solve x^2 + 10x + 24 = 0

To factorize the equation we need to find two numbers a and b such that
a * b = 24 and
a + b = 10
By closely looking at those, we find that 4 and 6 satisfy...

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7878 Views

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