Question

Muffy ordered 3 muffins and 2 lattes for $7. Sammy ordered 4 muffins and a latte for $6. create a system of equations.

Answer 1

Explanation:

I added a photo of my solution

Answer 2

3m+2L = 7

4m + L = 6

Explanation:

Let m = cost of the muffins

Let L = cost of the lattes

3m+2L = 7

4m + L = 6

To solve

Multiply the second equation by -2 and add them together.

3m+2L = 7

-8m + -2L = -12

-------------------------

-5m = -5

Divide by -5

-5m/-5 = -5/-5

m = 1

Then

4(1) +L = 6

L = 6-4

L =2

The solution is

muffins cost 1 dollar and lattes cost 2 dollars.