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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=2),...
JP
5563 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 facto...
JM
Answered by Jude M. Maths tutor
6759 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 separa...
CK
Answered by Charlotte K. Biology tutor
3947 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 ( x 2 + 8x - 9) This function is known as a cubic function as when multiplying out the brackets, the highest function of x would be x 3 .Note: If the highest order of x was...
AM
16703 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 exp...
AS
2563 Views