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Maths
GCSE

Solve the simultaneous equations. x^2 + 2y=9, y-x=3

Use the method of substitution to answer this question.
Step 1: Rearrange one of the equations to find x or y.
y-x=3 y=x+3
Step 2: Substitute your y into the first equation
x2<...

Answered by Kieran W. Maths tutor
3845 Views

Expand the brackets (x+1)(x-4)

When we are presented with a quadratic equation in this form, and asked to expand, it is important to make sure that every term is used. For example, we would begin with the 'x' from the (x+1) bracket, an...

Answered by Abbie W. Maths tutor
4263 Views

What is the lowest common multiple and the highest common factor of 120 and 150?

To approach a problem like this, we must first break down our number into a multiplication of prime factors (i.e. we can make our number by multiplying numbers 2,3,5,7 etc together). This is best done wit...

Answered by Dominic W. Maths tutor
4965 Views

How do you factorise a quadratic equation into the form (x+A)(x+B), for example x²+x-6 =0?

Quadratic equations are always given in the form ax2 +bx +c. One way of solving (finding values of x) and therefore factorising is to use the ...

Answered by India J. Maths tutor
2313 Views

3 teas and 2 coffees have a total cost of £7.80 5 teas and 4 coffees have a total cost of £14.20 Work out the cost of one tea and the cost of one coffee.

You make simultaneous equations. 1.) 3T+2C=7.82.) 5T+4C=14.2Then you make either the C or the T coefficient equal in both equations. I choose to make the C coefficients the same. So I multiplied equation ...

Answered by Dan S. Maths tutor
5429 Views

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