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3x + 5y = 14 (times this entire equation by 3) --> 9x + 15y = 42 4x + 3y = 4 (times this entire equation by 5) --> 20x + 15y = 20Now both of the simultaneous equations have 15y, so you can subtract ...

Number of sweets = xG=B Gemma and Betty have the same number of sweetsx=x 5(x-24) = x +24 Gemma gives 24 of her sweets to Betty. Betty now has 5 times as many sweets as Gemma.5x - 120 = x + 245x -x = 24 +...

Its okay to not know which theorem to use immediately when you look at a question. The best way to go about it if you are struggling is to recall all the ones that you do remember and deduce any angle eve...

First we need to factorise this quadratic. This will be in the form:

0 = (Ax + B)(Cx + D)
You can work this out the values of A, B, C and D by looking at the coefficients in the unfactoris...

6²= 36 8²=6436+64=100√ 100 =10Therefore, 100=∛(125a³)∛(125a³) =∛125 X ∛a³=5 X a =5aSo, 10=5aa=2