SOLUTION: Jack and Pam meet in town for lunch. Jack orders 3 sandwiches and 2 cakes. This comes to $11.05. Pam orders 2 sandwiches and 1 cake. This costs $6.50. If the price of a sandwich i

Question 986172: Jack and Pam meet in town for lunch. Jack orders 3 sandwiches and 2 cakes. This comes to $11.05. Pam orders 2 sandwiches and 1 cake. This costs $6.50.
If the price of a sandwich is s, and the price of a cake is c, solve these equations to find the values of s and c :
3s+2c=11.05. 2s+c=6.5
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
If the help needed is to make the system of equations, then that would usually be the kind of help given for this. If the help needed is to solve the system, then taking a step back to the more fundamental algebra is what is really needed.

Two linear equations in the two unknown variables, s and c.

Most comfortable method would be Elimination. Simplest way here without explanation is the equivalent:
, allowing for elimination of c to solve first for s.

Do you see how?

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(Adjusted earlier mistake)
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