Factorise $5x - 15$ and $6 - 2x$.
If $A$ and $B$ are variable quantities, we say that $A$ is proportional to $B$ if the fraction $ rac{A}{B}$ is a constant.
(b) Us... show full transcript
Worked Solution & Example Answer:Factorise $5x - 15$ and $6 - 2x$ - Junior Cycle Mathematics - Question 2 - 2015
Step 1
Factorise $5x - 15$ and $6 - 2x$
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Answer
5x−15 can be factored as follows:
5x−15=5(x−3).
Similarly, for 6−2x:
6−2x=2(3−x).
Step 2
Using your answers to part (a) above, show that $5x - 15$ is proportional to $6 - 2x$
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Answer
To show that 5x−15 is proportional to 6−2x, we need to find the ratio:
2(3−x)5(x−3)=25⋅3−xx−3.
This fraction is a constant, so 5x−15 is indeed proportional to 6−2x.
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