Brenda and Ted each improved their yards by planting daylilies and geraniums. They bought
their supplies from the same store. Brenda spent $73 on 7 daylilies and 3 geraniums. Ted spent
$117 on 3 daylilies and 12 geraniums. What is the cost of one daylily and the cost of one
geranium?

The cost of the flowers is:

Daylily = $7Geranium = $8

Step-by-step explanation:

First we use the next variables:

Daylily Cost = XGeranium Cost = Y

With the information in the paragraph we can do the next formulas:

7X + 3Y = 733X + 12Y = 117

We clear the variable X in the first formula:

7X + 3Y = 737X = 73 - 3YX = (73 - 3Y)/7

And we replace the X in the second formula:

3X + 12Y = 1173((73 - 3Y)/7) + 12Y = 117

Now we operate:

((219 - 9Y)/7) + 12Y = 117(219 - 9Y + 84Y)/7 = 117219 + 75Y = 117 * 7219 + 75Y = 81975Y = 819 - 21975Y = 600Y = 600/75Y = 8

In the last step, we can replace the Y in the first formula:

7X + 3Y = 737X + 3(8) = 737X + 24 = 737X = 73 - 247X = 49X = 49/7X = 7

Then, how X is the daylily cost, this is $7 and how Y is the geranium cost, this is $8.

Nope srry

Step-by-step explanation: