Because "y" is + in <span>2x+y=7, let's subtract 2x from both sides and end up with an expression for y: y = 7 - 2x. Substituting this into 5x - 3y = 23,
5x - 3(7 - 2x) = 23. Multiply out -3(7 - 2x):
5x - 21 + 6x = 23. Combining 5x and 6x, 11x - 21 = 23, or 11x = 44.
Thus, x = 4. Since y = 7 - 2x, subst. x = 4 results in the value of y:
y = 7 - 2(4) = 7 - 8 = -1.
The solution is (4,-1).</span>
Answer:
- Unit price of a 2-liter bottle of soda:

- Unit price of a case of twelve 12 ounce cans:

- The better bargain is the case of 12 ounce cans.
Step-by-step explanation:
Let be "x" the unit price (price/ounce) of the soda in the 2-liter bottle and "y" the unit price (price/ounce) of the soda in the case of twelve 12 ounces cans.
According to the data provided in the exercise, you know that:
1. The 2-liter bottle of soda is equal to 67.6 ounces.
2. That bottle costs $1.89
Then, the unit price is:

3. There are 12 ounce cans in the case. Then the total ounces is:

4. It costs $2.99. So the unit price is:

Since:

The better bargain is the case of 12 ounce cans.