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Maths
GCSE

How would I solve a linear simultaneous equation?

When presented with a simultaneous equation, you need to find out the values of the letters (commonly x and y). You might be given two equations such as: a) 2x + 4y = 6, and b) -4x - 3y = 3. The first thi...

Answered by Ryan O. Maths tutor
2695 Views

Solve the inequality x^2 – x < 6

The question is asking for the range of x values that satisfies the inequality. First rearrange the equation to form a quadratic: x2 – x – 6 < 0. Factorise the quadratic to find x-intercepts...

Answered by Lea L. Maths tutor
6751 Views

Factorise x^2+3x-4=0

We will set the answer layout first by forming 2 brackets. (x+a)(x+b)=0We then look at the signs used, particularly negative signs. In this question, there is a minus sign before the 4.This means that one...

Answered by Danel I. Maths tutor
2919 Views

Solve the simultaneous equation 2x + y = 18 and x - y = 6

With linear simultaneous equations the best thing to do is find one variable first and in this question we will find x first. We will start by rearranging the second equation to give us y = x - 6. Now we ...

Answered by Rita O. Maths tutor
5670 Views

Fully factorise and simplify (x^2 +7x + 10) / (x^2 - 25)

Simplify the numerator (top) by finding the pair of numbers which multiply together to give the C term of the quadratic, and add to give the B term. This gives 2 and 5 so the equation becomes (x+2)(x+5) /...

Answered by Nikolai P. Maths tutor
3617 Views

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