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Solve these simultaneous equations. 2x + y = 10 and 3x + 4y = 25.

2x + y = 10 (1) 3x + 4y = 25 (2) 1. Eliminate y. Method 1: (1) x 4: 8x + 4y = 40 (1') (1') - (2): 5x = 15 Method 2: Rearrange (1): y = 10 - 2x (1") Substitute (1") into (2): 3x + 4(10 - 2x) = 25 (3...
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Answered by Daisy D. • Maths tutor
12088 Views

When should I use the quadratic formula?

If you're asked to solve a quadratic equation, you could factorise it, or you could use the quadratic formula. The quickest way is to factorise, but sometimes the numbers are too tricky to factorise, (if an ...
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Answered by Sarah M. • Maths tutor
3993 Views

'ei' or 'ie'?

German spelling can be tricky to get to grips with when you first start learning, but there's a simple trick to remembering whether the word you're writing is 'ei' (e.g. 'bleiben') or 'ie' (e.g. 'spielen'). ...
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Answered by Anita H. • German tutor
4075 Views

When do I use 'sein' and when do I use 'haben' in the past tense?

The rule for this is simple, although can be somewhat confusing when you first start learning German! The rule is: if there's movement from one place to another, use 'sein'. If there's not, use 'haben' . Exa...
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Answered by Anita H. • German tutor
52726 Views

What is osmosis and why does it occur?

Osmosis is the movement of water molecules from an area of high water concentration to an area of low water concentration through a partially/selectively permeable membrane (PPM) . It occurs because of conce...
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Answered by Anita H. • Biology tutor
45506 Views