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The equation of line L is y= 3x+2 and the equation of line M is 3y–9x+5=0. Show that these lines are parallel.

First step is to understand what it means for lines to be parallel. This is when the gradients of two lines are the same.This is much easier to see when the format of the equations is the same, so lets rearr...
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Answered by Paulius P. • Maths tutor
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Of the following 4 equations, 3 of them represent parallel lines. Which is the odd one out?

2y - 3x = 4 2) -12x = 4(1 - 2y) 3) y - 5 = 3(x - 1)/2 4) 3(y - x) = 4 - y This question relies on the student's understanding of parallel lines as well as their ability to rearrange equations. The key piece ...
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Answered by Wayne S. • Maths tutor
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Solve algebraically the system of equations: 4x+5y=-3 and 6x-2y=5

Label both equations to make it easy to refer to them in your answerEqn 1: 4x+5y=-3Eqn 2: 6x-2y=5 To solve these equations we need to be able to eliminate either the y terms or the x terms. In order to do th...
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Answered by Emma R. • Maths tutor
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Work out 90% of 130

Find 90% of 130Calculate the value of 10%130 / 10 = 13You can now use this value to find the answer as 100% - 10% = 90% 130 - 13 = 117
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Answered by Freya W. • Maths tutor
3372 Views

3 teas and 2 coffees have a total cost of £7.80. 5 teas and 4 coffees have a total cost of £14.20. Work out the cost of one tea and the cost of one coffee.

Firstly we need to set up a simultaneous equation. 3t +2c =7.80 and 5t +4t = 14.20 Rearrange the first equation to find c on its own. 2c = 7.80 - 3t, c= (7.80 - 3t) / 2Then put the new value of c into the se...
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Answered by Louise B. • Maths tutor
5139 Views