At a restaurant the price for 3 salads and 2 glasses of lemonade is $14 and the price for 2 salads and 4 glasses of lemonade is $12. How much does it cost for 1 salad and 2 glasses of lemonade?

1. Turn units into variables---> S = Salads, L=Lemonade

2. Set up two equations using the variables and information give.---> 3S + 2L = $14 and 2S + 4L = $12.

3. Set the equations up like this;

(3S+2L=14)

(2S+4L=12)

4. Use elimination. To use elimination you need to pick one variable and make the variables cancel. For the variable to cancel one has to be negative and one has to be positive.

5. This is what I mean;

(3S+2L=14) * - 2 = (-6S-4L=-28)

(2S+4L=12) * 3 = (6S+12L=36)

6. Now add the variables together;

-6S+6S=0

-4L+12L = 8L

-28+36 = 8

7. Rewrite with what is left and solve;

8L=8

L=1

8. Plus in L to one of the two original equations and find S;

3S+2 (1) = 14

3S+2=14

3S=14

S=4

9. Write out your answer---> The Salads cost $4 each and the lemonade costs $1 each.