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How do we solve simultaneous equations, say for example x + 4y = 20 and 2x - 2y = 10 ?

When it comes to simultaneous equations, there are two methods that we can use to solve them. The first method is called substitution , where we make one of the variables the subject in one of our equations ...
JW
Answered by Jonathan W. Maths tutor
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What are the different methods of solving quadratic equations?

For your maths GCSE it is important that you understand the three main methods of solving quadtratics: factorisation, completing the square, and using the quadratic formula. 1. Factorisation: The first step ...
LM
Answered by Lois M. Maths tutor
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Solve the simultaneous equations y= 3x +4 and y= 2x + 5

'Solve' means to find the values of the unknown variables in the equations , commonly letters, which in this question are x and y. Step 1: Put equations equal to eachotherBoth equations given are equal to y ...
VC
Answered by Vicky C. Maths tutor
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Solve the simultaneous equations: 2x + 3y = 28 and x + y = 11

As the number of equations is the same as the number of unknowns, there is exactly one solution!We start by labelling the two equations:2x + 3y = 28 (1)x + y = 11 (2)There is more than one way to approach th...
HH
Answered by Harry H. Maths tutor
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The normal price of a television is £1200. It is reduced to £970. Work out the percentage reduction. Give your answer to 1 decimal place.

First we calculate the difference between the original price and the new price. This is £1200 - £970 = £230. We now divide this difference by the original price, and multiply it by 100 to find the percentage...
HH
Answered by Harry H. Maths tutor
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