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Circle equation = (x - a)² + (y - b)² = r²Where Centre coordinates (a, b) and radius 'r'Therefore x² + y² + 8x - 12y = 12 is to be rewritten in this ...

Rewrite (x − 4)(2x + 3y)² as (x - 4)(2x + 3y)(2x + 3y)
Multiply out the first two brackets to give -(2x² + 3xy - 8x² - 12y)(2x + 3y)
Multiply o...

Translation: The wife of Caesar begged her husband with many prayers not to go into the senate on this day. That man however, since he feared that he would appear cowardly, decided to neglect the advice o...

Label equations: (a) 3x+4y=18(b) 4x+2y=14We need to be able to cancel out either the x's or the y's. The simplest choice is to double (b) so that we can cancel out the y's.2 x (b) : 8x+4y=28 (Give this a ...

First we need to rearrange both equations into the form ax + by = c (where a, b and c are the integers). We can label these 1. and 2.We then have:3x + 2y = 12 1.7x -10y = -16 2.In order to find the x valu...