Jan and Wayne went to the store to buy some groceries. Jan bought 2 cans of corn beef hash and 3 cans of creamed chipped beef for $4.95. Wayne bought 3 cans of corn beef hash and 2 cans of creamed chipped beef for $5.45. Let H represent the price of a can of corn beef hash, and C represent the price of a can of creamed chipped beef. solve for H and C

You can solve this by using the system of equations.

Jan - 4.95 = 2H + 3C

Wayne - 5.45 = 3H + 2C

Use elimination.

-3 (2H + 3C = 4.95)

2 (3H + 2C = 5.45)

Solve. And you'll get:

-6H + (-9C) = - 14.85

6H + 4C = 10.9

Cross out - 6H and 6H because they cancel out. And you're left with:

-9C = - 14.85

4C = 10.9

Add - 9C with 4C, and - 14.85 with 10.9.

-5C = - 3.95

Divide each side with - 5.

C = $0.79

Now to figure out what H is, just substitute the C in one of the equations with 0.79.

5.45 = 3H + 2 (0.79)

5.45 = 3H + 1.58

-1.58 - 1.58

3.87 = 3H

3.87/3 = 3/3 (H)

1.29 = H

Finished!