The booster club is selling refreshments. The following system of linear equations models the concession stand prices. Let epresent the cost of a hot dog and represent the cost of the soda. Write the answers in decimal form. Solve the system of linear equations.

4h + 4s = 10
7h - 55 = 15

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
5 months ago

To solve this system of linear equations, we first need to rewrite the second equation in terms of s:

7h - 55 = 15
7h = 70
h = 10

Now that we have the value for h, we can substitute it back into the first equation to solve for s:

4h + 4s = 10
4(10) + 4s = 10
40 + 4s = 10
4s = -30
s = -7.5

Therefore, the cost of a hot dog is $10 and the cost of a soda is -$7.50 (or $7.50 given the context of the problem).