Answer:
 [tex]4x+6y=34\\\\4x+3y=25[/tex]
Step-by-step explanation:
Let be "x" the cost in dollars of a hamburger and "y" the cost in dollars of a soft drink.
The cost of 4 hamburguers can be represented with this expression:
[tex]4x[/tex]
And the cost of 6 soft drinks  can be represented with this expression:
[tex]6y[/tex]
Since the total cost for 4 hamburgers and 6 soft drinks is $34, you can write the following equation:
[tex]4x+6y=34[/tex] Â [Equation 1]
 The following expression represents the the cost of 3 soft drinks:
[tex]3y[/tex]
According to the information given in the exercise, the total cost for 4 hamburgers and 3 soft drinks is $25. Then, the equation that represents this is:
[tex]4x+3y=25[/tex] [Equation 2]
Therefore, the Equation 1 and the Equation 2 can be used to determine the price of a hamburger and the price of a soft drink
