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y=2x+5 and y-x=8. Find x and y.

The expression (2x+5) has the same value as y, and so we can use (2x+5) instead of y in the second equation. This means that we are now just dealing with one variable (x) instead of two (x and y). If we make...
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Answered by Smriti R. • Maths tutor
12408 Views

Find the length of a side of the triangle (Pythagoras' Theorem) Two sides are of length 3cm and 4cm, find the length of the Hypotenuse.

a 2 = 3 2 = 9, b 2 = 4 2 = 16, a 2 + b 2 = 3 2 + 4 2 = 25, c 2 = 25, c = 5
AD
Answered by Andrew D. • Maths tutor
3309 Views

There are 892 litres of oil in Mr Aston’s oil tank. He uses 18.7 litres of oil each day. Estimate the number of days it will take him to use all the oil in the tank.

Estimate, so: 900 litres, and 20 litres per day. 900/20 = 45 However, any estimation that results in an answer between 44-56 is acceptable.
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Answered by Christopher L. • Maths tutor
10001 Views

Rearrange "(6y-30)/5 = 2x+(12/5)" so it reads "y = ... ". Sketch this line and label where it meets the axes.

multiply everything by 5, so you get 6y - 30 = 10x + 12 - add 30 to both sides, so you get 6y = 10x + 42 - divide everything by 6, so you have y = (10/6)x + (42/6) - simplify, y= (5/3)x + 7 - this is of the ...
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Answered by Tegan H. • Maths tutor
3515 Views

Solve 14-x = 4(1+x)

First of all we want to expand the brackets out. We do this by mulitplying 4 by each number in the bracket. This then gives us 14-x = 4+4x. We then want to get all the x's on one side and the numbers on the ...
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Answered by Francis S. • Maths tutor
3322 Views