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Given that xy=2 and y=3x+5, find x and y. Do not use trial and improvement.

There are a few ways of solving these simultaneous equations, but most of them involve substitution. Perhaps the most intuitive substitution to make is the second equation (y=3x+5) into the first one (xy=...

JP
4321 Views

How would I simplify (3x^2 − 8x − 3)/(2x^2 −6x) fully?

The above sample question was taken from the 2018 GCSE Maths Higher paper.First we simplify the numerator, 3x^2 - 8x - 3, which is a quadratic written in the form ax^2 + bx + c so we can simplify it by fa...

JM
Answered by Jude M. Maths tutor
5244 Views

How does transcription work?

Transcription is the first step of protein synthesis and occurs within the nucleus of the cell. Within the cell's nucleus is the DNA. Firstly an enzyme called DNA Helicase 'unzips' the two DNA strands sep...

CK
Answered by Charlotte K. Biology tutor
2645 Views

GCSE or A-level Maths: How can I find the x and y intercepts of a cubic function?

Assume we have the function:
y = x ( x2 + 8x - 9)
This function is known as a cubic function as when multiplying out the brackets, the highest function of x would be x3.Not...

AM
11776 Views

How do I balance description and analysis when writing about works of art?

Nailing the balance between description and analysis is the key to constructing an A* worthy piece of art historical writing. Though too much description can make your writing dull, a lack of descriptive ...

AS
1649 Views

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