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. 1 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). 2 3
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