You fill up your car with 10 gallons on premium gasoline and a small

You fill up your car with 10 gallons on premium gasoline and a small gas can with 2 gallons of regular gasoline for your lawnmower. You pay the cashier $13.56. The price of premium gasoline is 12 cents more per gallon than the regular gasoline.
Write a system of linear equations for this situation.
Write an augmented matrix for the system.
Solve the matrix to find the price per gallon of each type of gasoline.
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The atomic weights of three compounds are shown.
Formula
Atomic Weight
Tetrasulphur tetranitride
S4N 4
184
Sulphur hexaflouride
SF6
146
Dinitrogen tetraflouride
N 2F4
104
Compound
Use a linear system and matrices to find the atomic weights of sulphur (S), nitrogen (N), and flourine (F).
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