Its a word problem in algebra 1 that i need on step by step ? - norachai and castel each improve their yards by planting rose bushes and geraniums. norachai spent $13 on 1 rose bush and 1 geranium. castel spent $46 on 1 rose bush and 4 geraniums. what is the cost of one rose bush and the cost of one geranium?

Cost of one rose bush =  $2 and cost of 1 geranium = $11

Step-by-step explanation:

lets assume cost of one rose bush = $x

lets assume cost of one geranium = $y

Given that Norachai spent $13 on 1 rose and 1 geranium

⇒ 1 × (cost of one rose bush) + 1× (cost of one geranium) = 13

⇒ 1x + 1y = 13     equation 1

Also given that Castel spent $46 on 1 rose bush and 4 geraniums

⇒1 × (cost of one rose bush) + 4× (cost of one geranium) = 46

⇒ 1x + 4y = 46    equation 2

Now we are having following two equations which will be used to find the value of x and y

1x + 1y = 13     equation 1

1x + 4y = 46    equation 2

lets modify equation 1 to get value of  y in terms of x and name that equation as equation 3

1x + 1y = 13     equation 1

⇒ y = 13 - x    equation 3

On substituting value of y from equation 3 in equation 2 we get

1x + 4 × ( 13 - x ) = 46

⇒ x + 52-4x =46

⇒ -3x = 46-52

⇒     x = (-6)/(-3) = 2

on substituting calculated value of x that is 2 in equation 3 we get

y = 13 -2 = 11

so on solving the equations we get x = 2 and y = 11.

Hence cost of 1 rose bush = $x = $2 and cost of 1 geranium = $y = $11

aloha~! my name is zalgo and i am here to you out on this amazing day. to answer your question, yes, nonzero numbers can have a greatest common factor and that would be 1. still don't get it? let me considering every number is divisible by 1 and hence every number has 1 as a factor of theirs. so, if 2 nonzero numbers didn't share any gcf (greatest common factor), they would still have a factor in common and that would be 1.

i hope that this ! : p

"stay and stay proud! " - zalgo

(by the way, do you mind marking me as brainliest? i'd greatly appreciate it! mahalo! x3)

answer: sherk

step-by-step explanation:

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