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Solve Simultaneous equations: 3x + 4y = 23 & 2x + 3y = 16

We need to cancel one of the variables (the x or y) out. Find the LCM of x or y.e.g. for x --> 6Multiply the WHOLE eqn to get 6x. So multiply the 1st eqn by 2 and the 2nd by 3[1] 6x + 8y = 46[2] 6x + 9y =...
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Answered by Eric E. • Maths tutor
3753 Views

What is a vector?

A vector describes a movement from one point to another.a column vector shows both the direction and the magnitude of this movement.the top number describes the horizontal movement.the bottom number describe...
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Answered by Tom H. • Maths tutor
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1) What is the area of a rectangle? 2) What is the area of a triangle?

The area is found by doing length x width. (this can be taught by using squared paper and counting the squares in a shape.2) the area of a triangle is found by using the equation 1/2 x base x height
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Answered by Tom H. • Maths tutor
2715 Views

integrate from 0 to 2: 2x*sqrt(x+2) dx

There are a few ways to go about this question. I will do a substitution using u=(x+2) 1/2 . From this equation we need to find x in terms of u, the new limits of the integral and dx in terms of du. By rearr...
TW
Answered by Tom W. • Maths tutor
12608 Views

Simplify fully (3x^2 -8x- 3)/(2x^2-6x)

When simplifying algebraic expressions, we should first factorise each term fully to find any common factors. First we should factorise the numerator where 3x 2 -8x-3 factorises to (3x+1)(x-3). Next, we shou...
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Answered by Paaras P. • Maths tutor
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