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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
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Answered by Elizabeth O. • Maths tutor
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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
7208 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
3514 Views

How does Shakespeare make use of metre in 'Romeo and Juliet'?

The majority of Shakespeare's 'Romeo and Juliet' is written in blank verse, or unrhymed iambic pentameter. This meter closely replicates the natural rhythm of spoken English. However, at key moments - such a...
IG
35410 Views

Describe the use of PCR and how exponential amplification can be achieved.

Polymerase chain reaction ( PCR ) is a technique used in molecular biology to amplify a single copy or a few copies of a segment of DNA across several orders of magnitude, generating thousands to millions of...
SB
Answered by Sam B. • Biology tutor
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