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Solve 3x^2 - 4x - 6 = 0.

The at first can seem very challenging and you won't be able to tackle this question quickly using simple factorisation, which you can often do for many questions. It is best in this case then to use the Qua...
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Answered by Aodhan B. • Maths tutor
5139 Views

Solve the following simultaneous equations: 3a + 2b = 36 equation ( 1), and 5a + 4b = 64 equation (2)

This question can be answered by the elimination method, substitution method or graphically. I find the elimination method easiest, especially when you can see that the coefficient of a variable (in this cas...
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Answered by Alejandro G. • Maths tutor
6449 Views

There are 30 kg of potatoes in a wheelbarrow. A farmer adds some carrots into the wheelbarrow. The total weight of the wheelbarrow now is 110 pounds. What weight of carrots did the farmer put into the wheelbarrow? 1 kg = 2.2 pounds

First of all, you want to get all your data in the same units, so either in pounds or kg. Here, as you are told that 1kg = 2.2 pounds, it seems easier to convert the amount of potatoes from 30kg into pounds,...
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Answered by Alejandro G. • Maths tutor
5539 Views

Simultaneously solve these equations 3x+y=7 and 3x-y=5

Method 1 (Elimination) - You can see that If you add the 2 equations together you can eliminate the y variable like so 6x=12, then if you divide both sides by 6 you get x=2. Then if you place x=2 back into e...
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Answered by Charlotte B. • Maths tutor
4820 Views

In one month, Karen takes the bus to school on 25 days. On 5 of these days the bus is late. What fraction of the days Karen takes the bus to school is the bus late? (Give your answer in the simplest form)

1/5 of the days.
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Answered by Libby S. • Maths tutor
3324 Views