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Solve the simultaneous equations: 3x + y = -4 and 3x - 4y = 6

First subtract the first equation from the second getting:0 - 5y = 10-5y = 10Then divide both sides by (-5)y = -2Then substitute the y value of (-2) back into the first equation giving:3x + (-2) = -43x = -2x...
LC
Answered by Luke C. • Maths tutor
6227 Views

A scalene triangle PQR, where PQ is (3x+4)m long, QR is (2-x)m long and angle PQR is 30 degrees, has an area of 2 square metres. Find x.

Knowledge of equation Area = 1/2absinC where a = PQ b = QR and C = angle PQR, a diagram may aid with visualisation. (B1) Substituting in values and expanding. 1/2(3x+4)(2-x)sin(30) = 2 becoming 1/4(-3x^2+2x+...
TF
Answered by Thomas F. • Maths tutor
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How do you factorise a quadratic equation

Factorising a quadratic can seem daunting at first but when broken down if to multiple steps it can be much more manageable. These steps will work for all basic quadratics so if you stick to the formula you ...
JP
Answered by Jake P. • Maths tutor
3345 Views

Expand and simplify (x − 4)(2x + 3y)^2

following BIDMAS we start with the second expression by squaring it, i.e. (x-4)(2x + 3y)(2x + 3y). It is important we do it in the right order, otherwise we could get a wrong answer. We use the FOIL (First O...
EA
Answered by Elsie A. • Maths tutor
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solve 2^(3x+1)=16

The first step is to make sure that everything has the same base, so you can equate the powers. For example if you have an equation 2 2 = 2 x you know that x must equal 2. So with this question you can rewri...
JP
Answered by Jessica P. • Maths tutor
7142 Views