Sonia buys two off cuts of ribbon in a sale. one is 153 cm long. the other is 204 cm long. she cuts them so that she ends up with a number of peices of the same length. whatis the greatest length each piece can be?

This is the concept of of application of Greatest Common Factor (GCF). The greatest length each piece can be will be found from GCF of 153 and 204
153=51×3
204=51×4
 GCF (153,204)=51
therefore the GCF of 153 and 204 is 51. We conclude that the greatest length each piece can be will be 51 cm long. 

Step-by-step explanation:

2 Solve for yy in 19y+90=-519y+90=−5.

y=-5

y=−5

3 Substitute y=-5y=−5 into x=3y+18x=3y+18.

x=3

x=3

4 Therefore,

\begin{aligned}&x=3\\&y=-5\end{aligned}

 

x=3

y=−5