Rob and adam went to taco express. rob bought seven tacos and two fajitas and paid $12.65. adam bought four tacos and one fajita and paid $6.95. find the cost of a taco.

Cost of a taco is $ 1.25.

Step-by-step explanation:

Let x be tacos and y be fajitas.

Rob bought seven tacos and two fajitas for $12.65.

⇒ 7x + 2y = 12.65 – – – (1)

Adam bought four tacos and one fajitas for $6.95.

⇒ 4x + y = 6.95 – – – (2)

⇒         y = 6.95 – 4x

Substitute y = 6.95 – 4x in equation (1), we get

(1) ⇒ 7x + 2(6.95 – 4x) = 12.65

   ⇒    7x + 13.9 – 8x = 12.65

   ⇒    –x = –1.25

   ⇒     x = 1.25

Hence, cost of a taco is $1.25.

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step-by-step explanation: