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18 November, 09:04

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

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  1. 18 November, 09:21
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    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!
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