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Solve the following equation: 4x + 7 = 2x - 5

Some students struggle to solve equations with unknowns on both sides. I think the easiest way to solve these types of equations is to use the balance method. This is where you treat the equation like a weig...
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Answered by Nicholas D. • Maths tutor
12924 Views

simplify (2q+4)/(p(p+1)) -q/p

times the whole equation by the denominator of the left fraction giving p(2q+4)(p+1) - (qp(p+1))/p notice that p can be cancelled in the right fraction, and then times out to give 2qp^2 + 4p + 4p^2 + 2pq - q...
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Answered by Madeleine B. • Maths tutor
3475 Views

How do you integrate?

Ok so there are two basic steps to integrating a function: You add 1 to the power of any x term. e.g. x 2 -> x 3 , 2x 7 -> 2x 8 , 3 = 3x 0 -> 3x You divide the term by the new power e.g. if the new ...
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Answered by Jeremy S. • Maths tutor
4244 Views

How do I solve simultaneous equations by substitution?

Often, substitution is used when dealing with quadratic simultaneous equations as the other method, elimination, is more straightforward and can be used to solve linear equations but it cannot be used for qu...
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Answered by Niamh M. • Maths tutor
6262 Views

Hannah's sweet problem (Edexcel 2015): There are n sweets, 6 are orange, rest of the sweets are yellow. She takes 2 sweets randomly without replacing them and the probability that 2 orange sweets are chosen is 1/3. Show that n^2-n-90 = 0.

Draw a probability tree diagram. For this question, only two branches are required (orange and orange). At the start, there are n sweets in total, 6 are orange, so p(O) = 6/n. On our second pick, there are 5...
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Answered by Yimin Z. • Maths tutor
5523 Views