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Solve algebraically: 6a + b = 16 5a - 2b = 19

We have two algebraic equations and we are trying to find what a and b can equal to fit for both situations. 1. 6a + b = 16 2. 5a - 2b = 19 The easiest method is substitution because we can sub in an equatio...
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Answered by Sophie W. Maths tutor
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Simplify: 2x + 6y + 2y - x

This is simplified by solving common terms (the x's and the y's). Where X and Y terms can't be solved together. Splitting it up: You can see 2x-x= x and for the Y terms (+)6y+2y=8y Therefore the final answer...
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Answered by Sophie W. Maths tutor
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Factorise x^2 + 7x + 10

'Factorise' essentially means put into a simpler form, in this case with two sets of linear equations which would multiply out to give the quadratic equation shown above. What we are looking for to begin wit...
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Answered by David J. Maths tutor
27667 Views

Given y=x^3+5x+3 find dy/dx when x=3

The question can be broken into two steps, 1) dy/dx is asking to differentiate y=x 3 +5x+3 with respect to x Differentiating we multiply by the current power and lower this powers value by 1. ( Constants dif...
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Answered by Robert L. Maths tutor
11930 Views

Factorise x^2 + 3x +2

You want two numbers that multiply to give 2 and add to give 3. Looking at factors is always easiest, so start by listing pairs of numbers that multiply together to give 2. There are only two such pairs, 1x2...
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Answered by Chloe H. Maths tutor
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