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1: x = 2, 2: y = x + 5 -> Solve this pair of simultaneous equations.

A set of simultaneous equations most commonly represents two lines on a graph, or perhaps a circle, with a line running through it. When you solve a set of simultaneous equations, its important to remember t...
EB
Answered by Eddie B. • Maths tutor
3422 Views

Write down the vector equation of the line l through the point (1,-1,2) and parallel to the vector 2i + 4k

Firstly, you need to see what is being asked to do. You need to find a vector equation of a line.Remember that the vector equation of a line is represented as r = a + λb.r is any point on the line, a is a sp...
CM
Answered by Clare M. • Maths tutor
4571 Views

Solve 2(x+4)=4x-6 for x

The first thing to do is to multiply out the brackets. You treat each side of the equation separately. You do this by multiplying each value in the bracket by the number outside the bracket.2 x + 2 4 = 2x+8T...
JL
Answered by Jasmine L. • Maths tutor
3777 Views

Integrate lnx

This requires your knowledge of integration by parts. The trick here is that lnx can also be written as lnx*1 (as any term multiplied by 1 is itself). We set u=lnx and dv/dx equal to 1. Hence from this we ca...
AO
Answered by Anthony O. • Maths tutor
3919 Views

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

The first step is to expand the (2x+4y)^2 bracket. Start by writing out (2x+4y)(2x+4y) and multiply out. A simple way to do this is by using the 'foil' method - multiply the 'first' terms in each bracket, fo...
EM
Answered by Ella M. • Maths tutor
4310 Views