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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...
PP
Answered by Paulius P. • Maths tutor
4069 Views

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
FW
Answered by Freya W. • Maths tutor
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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...
LB
Answered by Louise B. • Maths tutor
5137 Views

Solve the simultaneous equations y = x + 3 and y = x^2 + 3x

Step 1: Recognise the quadratic term, this cannot be solved through elimination. Therefore we must need to use substitution. Substitute y = x + 3 into the quadratic. Gives x + 3 = x 2 + 3xStep 2: Rearrange t...
SN
Answered by Sam N. • Maths tutor
7643 Views

n is an integer such that 3n + 2 ≤ 14, and 6n/(n^2 + 5) >1. Find all possible values of n.

Step 1: Simplify 3n + 2 ≤ 14 3n ≤ 12 n ≤ 4 and 6n > n^2 + 5 0 > n^2 -6n + 5 Factorise (n-5)(n-1) < 0 Step 2: Let (n-5)(n-1) = 0, so n=5 or n=1 If (n-5)(n-1) < 0, then 1<n<5 (use graph/subst...
CM
Answered by Catriona M. • Maths tutor
12097 Views