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Solve the simultaneous equations: 5x+y=21, x-3y=9

Step 1. Take one equation and make either x or y the subject of the formulax=9+3y, 5x+y=21Step 2. Substitute in the equation5(9+3y)+y=21Step 3. Make y the subject of the formula45+15y+y=21 (multiplied out...

Answered by marcus J. • Maths tutor

2912 Views

How is the novel 'Dracula' reflective of the universal fears felt at it's time?

Our initial introduction to the novel presents itself as a written account of a journey. Our narrator, Jonathan Harker, informs the reader that he is "leaving the West and entering the East". T...

Answered by • English tutor

2778 Views

How do i change a recurring decimal into a fraction?

Let's take 0.666... as an example. In this case we can say x = 0. 666... The next step is to multiply both sides of the equation by 10 so that you end up with 10x = 6.666... Now that we have these 2 equat...

Answered by Gail L. • Maths tutor

2924 Views

Write 2x^(2) + 9x + 1 in the from a(x+m)^(2) + n, and hence solve 2x^(2) + 9x + 1= 0, leaving your answer in surd form.

So the first part of the question is about completing the square. Since the coefficient of .. is greater than one, the first step in carrying out this process is to take out the ‘2’ from the equation. Thi...

Answered by Isobel S. • Maths tutor

4614 Views

Explain why graphite conducts electricity.

Each carbon atom forms 3 (covalent) bonds with other carbon atoms. One electron is left to be free, or as we say de-localised, and therefore can move around freely. Therefore an electrical potential can b...

Answered by Liam S. • Chemistry tutor

2186 Views