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Solve algebraically the simultaneous equations x^2 + y^2 = 25 y – 3x = 13

First begin with rearranging the second equation to put it in terms of Y. Then substitute by putting the second equation (y=3x+13) into equation one as Y^2. Expand (3x+13)^2 and add like terms to form 10x...

Answered by Dani L. • Maths tutor

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A bag contains only apple and oranges. The probability an apple is picked randomly is 1 in 5. The apple is returned, and ﬁve more apples are added to the bag. The probability of an apple being picked is now 1in 3. How many apples were there originally?

2 simultaneous unknown equations. Let x be the number of apples originally, and n the number of fruits in the bag in total originally. i) first scenario, where probability is 1/5, x/n = 1/5 5x= n ii) ...

Answered by Chloe L. • Maths tutor

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solve this simultaneous equation: 2x + 3y = 19 (Eq1) and 3x + y = 11 (Eq2)

Begin by multiplying the second equation by three in order to get a 3y value: 9x + 3y = 33. We can now subtract equation one from equation two, 9x + 3y = 33 and 2x + 3y = 19 -->7x + 0y = 14. Resulting ...

Answered by Tomas B. • Maths tutor

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How do we use ratios to figure out how much money to give to people of a lump sum?

Lets start with an example scenario:Two people are to receive a percentage of a £500 business sale. One receives 25% and the other receives 75%.
When using percentages we must remember that it means...

Answered by Daniel C. • Maths tutor

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