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Analyse the sequence to find the second order difference.10 13 20 31 46 75 3 7 11 15 19 4 4 4 4

Subsitute y for 5 to give 9x - (3 * 5) = 97 - 5xCalculate the brackets 9x - 15 = 97 - 5xAdd 15 to both sides 9x = 112 - 5xAdd 5x to both sides 14x = 112Divide both sides by 14 x = 8

First, you regroup all numbers which are not factors of x on one side of the equation:
4x = 1 - 3.5
so 4x = - 2.5
Then, you isolate x:
x = - 2.5/4
x = - 5/8 = - 0.625

This is a typical simultaneous equations question. Using the information in the question we can write down two equations in two unknowns (let's say T=tea and C=coffee).(1) 3T + 2C = £7.80(2) 5T + 4C = £14...

plot the coordinates to obtain a straight line graphcalculate the gradient by using the equation m=change in y/change in xfind the point of interception by seeing where the line crosses the y axis, where ...