Question

At the deli, two smoked turkey subs and five veggie subs cost $29. Four smoked turkey subs and three veggie subs cost $30. (A) Create a linear system to model the equations. (B) Solve the system to determine the cost of a smoked turkey sub and the cost of a veggie sub.

Answer 1

For this case, the first thing we must do is define variables.
 We have then:
 x: cost of smoked turkey
 y: cost of veggie subs
 By writing the system of equations we have:
 $2x + 5y = 29 4x + 3y = 30$
 Resolving the system graphically we have the solution is:
 $x = 4.5 y = 4$
 See attached image for the graphic solution: You must observe the point of intersection of the lines.
 Answer:
 smoked turkey = 4.5 $
 veggie sub = 4 $