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Solve the following simultaneous equations: 3x + 2y = 16 2x + 3y = 14

Answer: x = 4, y = 2 Method: Eq 1) 3x + 2y = 16 Eq 2) 2x + 3y =14 Eq 1 x 2) 6x + 4y = 32 Eq 2 x 3) 6x + 9y = 42 New Eq 2 - New Eq 1) 5y = 10, so y = 2 Sub y into Eq 1) 3x + 4 = 16, 3x = 12, so x = 4
EO
Answered by Elizabeth O. • Maths tutor
8867 Views

Jorgen has 20 sweets in his pocket. The sweets are either blue or yellow. He picks a sweet and eats it and takes another sweet and eats it again. The probability of him picking two blue sweets is 6/30. How many yellow sweets does he have in his pocket.

1st step: Firstly we know 3 things: 1. There are 20 sweets in total 2. The sweets are either blue or yellow 3. The probability of picking two blue sweets in 6/30 We let the total number of blue sweets in his...
YS
Answered by Yusuf S. • Maths tutor
7098 Views

Find the coordinates where the curve f(X)= X^2+X-6 touches the x axis using factorisation.

The first part of this question requires be student to realise that touching the x axis equates to f(x) equalling 0, so we must equate the expression to 0. Next we need to factorise the expression. This mean...
WT
Answered by William T. • Maths tutor
3407 Views

How do I integrate 3^x?

First I would ask what have they tried, and see if any of their attempts are on the right track - and then guide them from there, if not: 3^x is quite a difficult form to deal with, so is there any other way...
JW
Answered by Josh W. • Maths tutor
27145 Views

What could be limitations to stress inoculation therapy? (SIT)

Whilst it does have many advantages over biological forms of stress management, it is limited by the fact that it requires a lot of time to complete therapy and that it is very expensive. Overall, many agree...
LL
10802 Views