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Solve the simultaneous equations: 3x + y = -9, x^2 + 2x - 3 = y

Rearrange the first equation to equal 'y' so y = -9 - 3xSubstitute this into equation 2 so x^2 + 2x - 3 = -9 - 3xRearrange this to equal 0 so x^2 + 5x + 6 = 0Factorise this by utilising brackets so that t...

MJ
Answered by Maryum J. Maths tutor
5485 Views

John left home at 13:55 and reached the shops at 15:20.  How long did his journey take?

Work out number of minutes from 13:55 to next hour (14:00) which is 5 minutesCalculate number of whole hours until 15:20 so 1 whole hour = 60 minutesCalculate number of minutes from 15:00 to 15:20 so 20 m...

MJ
Answered by Maryum J. Maths tutor
2298 Views

At the shop, Max buys 5 juice boxes and 12 sweets which costs him £1.34 in total. If x represents the cost of one juice box (in pence) and y represents the cost of one sweet (in pence), write out an equation, in terms of x and y, to show this

5x + 12y = 134

MJ
Answered by Maryum J. Maths tutor
1247 Views

It is given that n satisfies the equation 2*log(n) - log(5*n - 24) = log(4). Show that n^2 - 20*n + 96 = 0.

Given 2logan - loga(5n-24) = loga(4)

CS
Answered by Cara S. Maths tutor
4871 Views

Solve the following equation for x: x^2 - 4x - 17 = 4

First, take 4 from both sides of the equation to get everything on the LHS:x^2 - 4x - 17 - 4 = 4 - 4 so we have x^2 - 4x - 21 = 0We are looking to factorise the equation in the following way:(x + a)(x + b...

JH
Answered by Jennifer H. Maths tutor
3165 Views

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