x = regular price

x + .19 = premium price

6x + 7(x + .19) = 34.09 ← substituted values

6x + 7x + 1.33 = 34.09 ← distributive

13x + 1.33 = 34.09 ← like terms

13x = 32.76 ← subtracted 1.33

x = 2.52 ← divided

x + .19 = 2.71 ← substituted

regular = $2.52

premium = $2.71

- Proof

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