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Which of these lines are parallel to y=2x+3? Which are perpendicular? Options: 1) y=5x-4, 2) y=-1/3x+3, 3) y=-1/2x-1, 4) y=2x-2/3

There are two ways of doing this question, one would be to sketch the graphs and see which are parallel to and which are perpendicular to the original line. Whilst this is valid, sketching lines isn’t alw...

Answered by Peter T. • Maths tutor

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Work out the nth term of the sequence 3, 7, 11, 15, ...

This is an example of an arithmetic series because each term is +4 from the previous term.This means for the "nth term" we start with +4n.Now we take a specific term from the sequence e.g. 3 (1s...

Answered by Alice L. • Maths tutor

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How do I expand double brackets? E.g. (4x+7)(3x+5)

In order to expand the brackets, we need to ensure that EVERYTHING in the left bracket is multiplied by EVERYTHING in the right bracket. There are 3 methods for helping us to times out the brackets. These...

Answered by Shona A. • Maths tutor

5403 Views

Solve algebraically: 6a+3b=24, 3a-b=7

Equation 1 : 6a+3b=24Equation 2: 3a-b=7
Rearrange equation 2 to make b the subject:add b to both sides : 3a=7+bminus 7 from both sides: 3a-7=b
Substitute this into Equation 1 : 6a + 3(3a-7)=24

Answered by Emily G. • Maths tutor

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The equation of line L1 is y=4x+3, The equation of line L2 is 4y-16x-2=0, Show that these two lines are parallel.

The equation of a line is shown in the form y=mx+c to prove that two lines run parallel you must prove that they have the same gradient or value of 'm', the number before x. The first equation L1 is alrea...

Answered by Sophie C. • Maths tutor

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