Shawna and Pranav each improved their yards by planting hostas and geraniums. They bought their supplies from the same store. Shawna spent $130 on 2 hostas and 9 geraniums. Pranav spent $78 on 6 hostas and 1 geranium. What is the cost of one hosta and the cost of one geranium?

Question

mehek14 · Answer

$\tt{2h+9g=130\6h+1g=78}$

mehek14 · Answer

do you know how to solve using elimination ?

mehek14 · Answer

@KJ4UTS ?

kj4uts · Answer

@Mehek14 sorry about that I had to do something, no I am not sure how to solve using elimination.

mehek14 · Answer

can you multiply everything in the first equation by 3

mehek14 · Answer

this will help you eliminate h

kj4uts · Answer

you mean multiple 2 and 9 by 3?

mehek14 · Answer

2, 9 , and 130

kj4uts · Answer

@Mehek14 I was looking at my problem here and it says to solve using substitution is that the same thing as elimination?

mehek14 · Answer

those are two ways to solve for it
you get the same answer using either one

kj4uts · Answer

oh ok if you don't mind could you explain substitution?

mehek14 · Answer

Then lets use substitution
solve for g in the second equation

kj4uts · Answer

do I move 6 to the other side 78-6=72 / 1g = 72?

mehek14 · Answer

$\tt{g=78-6h}$

mehek14 · Answer

not plug the value of g from  the second equation for g in the first equation

kj4uts · Answer

1g + 9g = 10g?

mehek14 · Answer

$\tt{2h+9(78-6h)=130}$

kj4uts · Answer

h=11

mehek14 · Answer

good
now put 11 for h in any equation

kj4uts · Answer

2*11=22
130-22=108 / 12
6*11=66
78-66=12

1 hosta $11?
1 geranium $12?

mehek14 · Answer

correct :)

kj4uts · Answer

Thank you for your time and help :)

mehek14 · Answer

yw :)