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Solve these simultaneous equations. 2x + y = 18 x - y = 6

With simultaneous equations there is more than one unknown. First we’ll get one unknown on its own so we rearrange the bottom equation to get x on its own. By adding y to each side of the equation this leave...
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Answered by Lizzie S. • Maths tutor
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Find the value of x: x^2-3x-3=1

To begin this question you need to bring all of the terms to one side, so the equation equals 0. It is easiest to do this by subtracting 1 from each side.x^2-3x-3-1=1-1x^2-3x-4=0Now we need to factorise the ...
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Answered by Emma H. • Maths tutor
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History GCSE Cold War - Why did the Soviet Union invade Hungary in 1956?

Structure of the answer: This essay should include a clear introduction, between 2 - 4 clear and distinct paragraphs, and a conclusion. The introduction should lay out your main arguments and demonstrate to ...
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Answered by Elizabeth A. • History tutor
9680 Views

What is the equation of the straight line perpendicular to the midpoint of the straight line that passes through (0,5) and (-4,7)?

Firstly, it's important to note that the question concerns straight lines, so it will be possible to express the answer in the form y=mx+c where m is the gradient and c is the y-intercept.To start, we need t...
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Answered by Adam L. • Maths tutor
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James wins the lottery and gets £200,000. He decides to spend 10% of his winnings and invest the rest. From the money he has invested, he receives interest of 3% per year. How much money does James have after 5 years (to the nearest pound)?

James starts with £200,000. He then spends 10% of his winnings: 200,000*(1-0.1)=180,000 The 1 represents 100%, which the amount of money James starts with. He then spends 10%, which is represented by the -0....
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Answered by Edward H. • Maths tutor
3805 Views