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Solve the following simultaneous equations: 4x+y=10 and 2x-3y=19

To begin to solve this question, we need to re-arrange the equations presented so they both appear in terms of 3y=. This will allow us to get a value for y and thus a value for x. First re-arrange the fir...

Answered by Hugh W. Maths tutor
9064 Views

Solve this pair of simultaneous equations. 5x + 2y = 20 x + 4y= 13

One way to solve simultaneous equations is to express x in terms of y (or vice versa) and solve your new equation to find one of the values. You can then substitute this into your equation to work out the...

Answered by Ned B. Maths tutor
3790 Views

Simplify (3 √(5))^2

In a question asking us to simplify, we know that our task is to reduce the number of terms presented as far as possible. We should begin inside the brackets by attempting to express both our numbers, 3 a...

Answered by Hugh W. Maths tutor
10869 Views

Text books are stored on two shelves. Each shelf is 0.72m long. Each textbook is 30 millimetres wide. Could 50 textbooks be stored on these shelves? (3 marks)

None caluclator paper, so you know that the divisions/multiplications will be relatively simple. First thing to do is convert both measurements we have into the same units (in this case millimetres). We s...

Answered by Sophia D. Maths tutor
3239 Views

How do you resolve forces on an object on an angled plane?

The forces should be resolved in two directions: parallel to the plane, and perpendicular to the plane. Friction will act parallel to the plane (up the slope), and the normal force wil act perpendicular t...

Answered by Benjamin G. Maths tutor
5096 Views

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