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Solve the simultaneous equations. 2x + y = 18 . x - y = 6

x = 6 + y
2(6+y) + y = 18
12+2y+y = 18
3y = 18-12
3y=6
y = 6/3 = 2. So y = 2 if y = 2 then x is = ?
x - y = 6 so, x-2 = 6
so x is 6+ 2 = 8
x = 8 and y = 2<...

Answered by Olufunke O. Maths tutor
2507 Views

How do you integrate ln(x)?

Here, we use integration by parts. We must imagine ln(x) as a product of 1 and ln(x). We usually take the function of x to be our dv/dx, however, in the case of ln(x), we take that to be u (it is a specia...

Answered by Omkar D. Maths tutor
2780 Views

Lottie has a bag of applies. She gives half of them to Fred. Fred eats two and then has four left. How many apples did Lottie have at the start?

General method
1.     Write the information down in equation form defining unique symbols to represent the unknowns2.     DOF analysis: Count the number of equations and unknowns? a.     If...

Answered by Niraj G. Maths tutor
4300 Views

Find the constant term in the expression (x^2-1/x)^9

This problem uses the binomial expansion formula: (x+y)n= k=0Zn nCk xk yn-k.But lets try to understand where this formula comes...

Answered by Vincent Y. Maths tutor
6486 Views

Express 12.5% as a fraction.

To make a percentage into a fraction you divide it by 100. This means 12.5% is 12.5/100. However, when giving fractions as an answer it needs to be done in the simplest form. To do this you need to find t...

Answered by Thanu G. Maths tutor
64716 Views

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