Write the following problem as a pair of simultaneous equations and solve:
a) find two numbers whose difference is 5 and whose sum is 23.
b) a rectangular house has a total perimeter of 34 metres and the width is 5 metres less than the length. what are the dimensions of the house?
c) if two chupa chups and three wizz fizzes cost $2.55, but 5 chupa chups and seven wizz fizzes cost $6.10, find the price of each type of lolly.

Which statement accurately explains whether a reflection over the y-axis and a 270° counterclockwise rotation would map figure acb onto itself? a coordinate plane with figure acb with point a at 1, 1, c at 3, 4 and b at 5, 1 yes, a″c″b″ is located at a″(1, 1), c″(4, 3), and b″(1, 5) yes, a″c″b′ is located at a″(1, 1), c″(3, 4), and b″(5, 1) no, a″c″b″ is located at a″(1, 1), c″(4, 3), and b″(1, 5) no, a″c″b″ is located at a″(1, 1), c″(3, 4), and b″(5, 1)

Julian wrote the following numeric pattern on the board3,10,17,24,31,38.what numbers of julian's pattern are compound numbers.

Determine which postulate or theorem can be used to prove that lmn =nmo