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How do you solve the simultaneous equations 3x + 4y = 5 and 2x – 3y = 9

We label each equation

3x + 4y = 5 (1)

2x – 3y = 9 (2)

We now want to get rid of one of the variables (x or y). Lets get rid of x:

SS
Answered by Sahiti S. Maths tutor
41340 Views

If x = cot(y) what is dy/dx?

Here we will use:

cot(x) = cos(x)/sin(x)

cosec2(x) = 1 + cot2(x)

Chain rule : dy/dt * dt/ dx = dy/ dx

Product rule : d/dx (...

SS
Answered by Sahiti S. Maths tutor
28149 Views

Find the complex number z such that 5iz+3z* +16 = 8i. Give your answer in the form a + bi, where a and b are real numbers.

Firstly, we note that z being a complex number can be expressed in the form z = a + bi. If we then take the complex conjugate of this expression, the real numbers remain the same (as they are their own...

IW
15101 Views

What is the Current Account

The current account is a section in the Balance of Payments, which shows a country's transactions with goods, services and income. It is made up of four different parts.

1) The balance of...

SS
Answered by Sahiti S. Economics tutor
6071 Views

What does dy/dx represent?

dy/dx represents the gradient of a curve. The d represents an infinitesimally small range so it is essentially as though you are doing change in y over change in x like you would for a y = mx +c graph ...

MD
Answered by Madeleine D. Maths tutor
40638 Views

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