Question 607444
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Hi
Let x and y represent the cost of the milkshakes and burger respectively:
Question states***
6x + 8y = 24.60
3x + 5y = 14.25

 6x + 8y = 24.60
-6x - 10y = -28.50  ||Multiplying thru by -2 to eliminate x
     -2y = -3.90
       y = $1.95, cost of the burger
 6x + 8·1.95 = 24.60
     6x = 9
      x = 9/6 = 3/2 = $1.50
CHECKING our Answer***
 3·1.50 + 5·1.95 = $14.25