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Solve x^(2)-x-12

We must factorise. Find factor pairs of -12;1,-12;-1,12;2,-6;-2,6;3,-4;-3,4. Out of the pairs, we must find the pair that will add up to -1 - this is because of the '-x' part of the equation. The answer i...

Answered by Hana K. Maths tutor
1813 Views

Solve the following set of simultaneous equations: (eq.1) x + 3y = 10, (eq.2) 2x + y = 5

Firstly, multiply eq.1 by 2, to obtain: (eq.3) 2x + 6y = 20Next, subtract eq.2 from eq.3 to obtain: (eq.4) 5y = 15Next, divide eq.4 by 5 to obtain: y = 3Now substitute y = 3 into any of the previous equat...

Answered by Joe D. Maths tutor
2548 Views

Derive X^2 + 2x

2x + 2

Answered by Sam K. Maths tutor
1768 Views

expand and simplify 2(c+5)+5(c-7)

Firstly, it is best to expand the brackets to get:2c+10+5c-35 (be mindful of the signs inside and outside the bracket because you might get a double minus sign that results in a +, however that is not the...

Answered by Mansi V. Maths tutor
2517 Views

Tony buys 12 apples and 7 pears for £10.90. An apple costs 20p less than a pear. What would be the cost of 4 apple and 9 pears?

Let's call an apple 'a', and a pear 'p'.If Tony bought 12 apples and 7 pears for £10.90, then we can write the following equation:12a + 7p = 10.9If an apple costs 20p less than a pear, we can say:a = p - ...

Answered by Rupert J. Maths tutor
2261 Views

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