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Solve the simultaneous equations. 5x+y=21, x-3y=9.

We commonly solve this via the method of substitution. We label each equation i and ii. We then solve the first equation i for a single variable. We then substitute this value into the secod equation, and so...
SW
Answered by Sam W. Maths tutor
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Line A passes through point Q(2,3). Line B is parallel to line A and has the equation 2y-3x=4. What is the equation of line A?

If two lines are parallel they have the same gradient so we must find the gradient of line B and use it to find line ALine B ==> 2y - 3x + 4 = 0This can be rearranged in to the form "y = mx + c"...
SV
Answered by sameer v. Maths tutor
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Factorise x^2 + 2x – 15

What helps to factorise quadratic equations is to remember the rule that the number without a coefficient must be multiplied into. Since this is negative above, it means one of the factor terms must be negat...
AM
Answered by Ali M. Maths tutor
4762 Views

Expand and simplify (x-2)(x-4)

One of the methods to answer this question would be the FOIL methodFirst Outer Inner LastStart by multiplying the First terms in each bracket and then the Outer and so on with Inner and Lastx x = x 2 x -4= -...
IS
Answered by Ibrahim S. Maths tutor
11408 Views

If a right-angled triangle has one side measuring 8cm and another measuring 15cm, what is the length of the hypotenuse?

What is meant by the word hypotenuse? The hypotenuse is the side of a triangle opposite to the right angle. It is the longest of the three sides and can often be identified as the 'diagonal' side of the tria...
RR
Answered by Rosanna R. Maths tutor
4855 Views