SOLUTION: Can anyone please tell me how to do this problem with 3 linear equations using substitution method Zoe is helping her grandmother with her flower garden.She decides to add some

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Question 1196213: Can anyone please tell me how to do this problem with 3 linear equations using substitution method
Zoe is helping her grandmother with her flower garden.She decides to add some clematis vines,rose bushes,and peony plants to her garden.The price of clematis vine is $3 more than twice a peony plant.The price of a rose bush is $5 more than a clematis vine.She decided to buy 3 clematis plants,4 rose bushes,and 2 peony plants for a total of $233.How much does each plant cost?
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52777)   (Show Source): You can put this solution on YOUR website!
.

It can be easily solved using one single unknown and one single equation.


So, I am not sure, if this problem is really worth to spend so many efforts,
using three equations and three unknowns.


In 99% of cases, such problems are solved using one single unknown and one single equation,
which is a standard, typical and routine approach.



Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
This could be done using three equations and three variables, but much easier to do in just one. 
PLANT           PRICE            COSTS

clematis         p+3             3(p+3)

rose             p+3+5           4(p+3+5)

peony             p              2p

TOTAL                             233


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