Answer:
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:
4x4x
And the cost of 6 soft drinks can be represented with this expression:
6y6y
Since the total cost for 4 hamburgers and 6 soft drinks is $34, you can write the following equation:
4x+6y=344x+6y=34 [Equation 1]
The following expression represents the the cost of 3 soft drinks:
3y3y
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:
4x+3y=254x+3y=25 [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
