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Solve the simultaneous equations: x^2 + y^2 = 29 and y - x = 3

To solve these equations we need to eliminate one of the variables, so make y the subject of the second equation: y = x + 3. Now y can be substituted into the first equation: x^2 + (x+3)^2 = 29. Expanding (x...
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Answered by Trisha G. • Maths tutor
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Solve 3(x-2) = 21

To begin, understanding the basica concept of algebra and multiplication using brackets needs to be covered as I have met quite a few children who have been used to these equations but are still unsure about...
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Answered by Nicole F. • Maths tutor
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Expand and simplify (6x - 2y)(3x - 7y)

Expand brackets: 18x^2 - 42xy - 6xy + 14y^2 Simplify: 18x^2 - 48xy + 14y^2 3 marks
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Answered by Beth W. • Maths tutor
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How many thirds are there in 9?

A third is exactly how it sounds: 1 piece out of 3 pieces of one number. If you imagine a cake is cut into 3 slices, one third would be one of those slices. This means that we have 3 thirds in any whole numb...
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Answered by Rachel B. • Maths tutor
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Differentiate y=(x^2+5)^7

In this example instead of multiplying out 7 brackets it is useful to use the chain rule, which is used to differentiate the composition of more than one function. If we let what is inside the bracket equal ...
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Answered by Rachel B. • Maths tutor
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