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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 the ...
MJ
Answered by Maryum J. • Maths tutor
6335 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 minu...
MJ
Answered by Maryum J. • Maths tutor
3190 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
1738 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 2log a n - log a (5 n -24) = log a (4) , we can rearrange to have all the "2logs" on one side and the "logs" on the other.So, 2log a n = log a (4) + log a (5 n -24) . Using the laws...
CS
Answered by Cara S. • Maths tutor
5907 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
3955 Views