How do you solve this (algebra)?

By using the subsitution/elimination method:





A florist will make up bouquets of different flowers. The rates and bouquets are listed below. If the flowers cost the same individually or in a bouquet, how much does one orchid cost?



Small bouquet:

2 snapdragons, 1 rose, 1 orchid $8

Medium bouquet:

5 snapdragons, 3 roses, 2 orchids $19

Large bouquet:

8 snapdragons, 5 roses, 5 orchids $38





I appreciate the clarificatio! It's a study question of mine, and I'm a bit confused..
How do you solve this (algebra)?
i wish i could help u i failded all my math classes lmaoo :)
Reply:uh.. i dont really get the question, but one orchid is $8. (if thats what its asking?)
Reply:Answer: Orchid = $4



Setup the equations

2s+1r+1c = 8 (c=orchid)

5s+3r+2c=19

8s+5r+5c=38



3 equations, 3 unknowns can be solved.



The first equation can be multiplied by (-5) to eliminate two variables from the third equation



(-5)(2s+1r+1c) = (8)(-5)



-10s-5r-5c=-40

Add this to third equation, yields

-2s = -2

s=1



Now that you know snapdragons are $1. Plug 1 in for s



2+r+c=8

5+3r+2c=19

8+5r+2c=38



This is an easier set of equations. Just do a substitution to get the final answer.
Reply:Set it up into a system of equations.

x = snapdragons

y = roses

z = orchids

2x + y + z = 8

5x + 3y + 2z = 19

8x + 5y + 5z = 38

Use two equations to eliminate a variable, solve for another, plug it into remaining ones - and there you go!

Good luck