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There are 6 orange sweets in a bag of n sweets. Hannah picks two sweets at random without replacement, and they are both orange. Show that n^2-n-90=0

This is a multi step question that requires both good understanding of probability and maniuplating algebraic fractions.PROBABILITYThe first step is recognizing that as there are 6 orange sweets out of a ...

Answered by Ben N. • Maths tutor

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Solve the simultaneous equations. 2x + y =10 and x + y = 4

We should eliminate one of the variables. We do this by writing them on top of one another.3x + y = 10x + y = 4 -
2x = 6 We want to know what X is and what Y is. We currently know what 2x is...

Answered by Grace N. • Maths tutor

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

label equation 5x + y = 21 as (1) and equation x - 3y = 9 as (2) multiply equation (2) by 5 to get : 5x - 15y = 9 (3) then subtract equation (1) from equation (2) in order the eliminate the x variable -1...

Answered by Shruti G. • Maths tutor

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Factorise x^2+3x+2=0

Using the letters a,b and c we label our coefficients by comparing our equation to ax^2+bx+c=0. This means we have; a=1, b=3 and c=2.To factorise a quadratic equation we need to put it into the form (x+

Answered by Daisy A. • Maths tutor

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Factorise x^2+6x-27

Label the three coefficients (each number, including an invisible 1 in from of the x²) as a, b and c.Think of it in two parts: a multiplied by c, which is just -27 in this example.The second pa...

Answered by Benjamin G. • Maths tutor

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