Cody spent $66 on 9 daylilies and 13 shrubs. Jennifer spent $24 on 2 daylilies and 6 shrubs. What is the cost of one daylily and the cost of one shrub?

Question

i need help with this question it is on solving systems

Answer 1

Let x be the cost of one daylily and let y be the cost of one shrub.

9x + 13y = 66

2x + 6y = 24

Multiply the top equation by -2 and the bottom equation by 9 to get ....

-18x - 26y = -132

18x + 54y = 216

By the elimination method, lets solve for y. Add the numbers on both sides to get ...

28y = 84

Divide by 28 on both sides to get y = 3.

Substitute 3 for y on the second equation to make it easier.

2x + 6(3) = 24

2x + 18 = 24

2x = 6

x = 3

Therefore, the cost of 1 daylily is $3 and the cost of 1 shrub is $3.