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Solve 8x + 9y = 3 and x + y = 0.

We have 8x + 9y = 3 [1] and x + y = 0 [2].We can make x or y the subject. Take y as subject we have y = -x [3].We substitute [3] into [1] and get 8x - 9x = 3 --> -x = 3 --> x = -3.Substituting x = -3 i...
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Answered by Theresa O. • Maths tutor
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What is Pythagoras' theorem and what can it be used to figure out?

Pythagoras' theorem states that in any right-angled triangle the square of the longest side (called the HYPOTENUSE) is equal to the sum of the squares of the other two shorter sides. If the two shortest side...
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Answered by Alice F. • Maths tutor
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Solve the equation 3a^2+4a+1=3 for all values of a. Give your answers to 3 significant figures.

First take the 3 over the other side to make the right hand side zero, turning it into a homogeneous equation: 3a 2 +4a-2=0. Since the expression on the left hand side cannot be factorised, we have to use qu...
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Answered by Nida A. • Maths tutor
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Solve the following inequality: x^2 + x -12<0

Firstly we have to factorize the quadratic. We do this by finding two numbers that multiply to -12 and add to 1.Looking at the factors of 12 we can see that x 2 +x-12= (x-3)(x+4)because -3 x 4 = 12 and 4-3=1...
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Answered by Joy S. • Maths tutor
8321 Views

Make y the subject of the following equation: 2x - y = 5

If we want to make y the subject of our equation, we need to re-arrange our equation so that y is on its own on one side of the equation. Such as y=...To re-arrange our equation, we need to decide if we want...
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Answered by Myles W. • Maths tutor
12799 Views