regular dinner = 2 tacos & 3 enchailada for 2.39
special dinner = 3 tacos & 4 enchiladas for 4.23
what is the average price for a taco & enchilada?
Let t be tacos and e be enchiladas.
A regular dinner would be represented as: 2t + 3e = 2.39
and a special dinner would be represented as: 3t + 4e = 4.23
The next step would be to solve the two equations, once for t and once for e.
Call those prices T and E.
2 T + 3 E = 2.29
3 T + 4 E = 4.23
Solve these two equations in two unknowns for T and E.
Hint: multiply the first equation by 3 and the second equaiton by 2, and subtract them.
To solve the system of equations, we can use the method of elimination.
First, multiply the first equation by 3 and the second equation by 2 to eliminate the t variable.
3(2t + 3e) = 3(2.39)
2(3t + 4e) = 2(4.23)
Simplifying these equations:
6t + 9e = 7.17
6t + 8e = 8.46
Now, subtract the second equation from the first equation to eliminate the t variable:
(6t + 9e) - (6t + 8e) = 7.17 - 8.46
(e) = -1.29
So, the price for one enchilada (E) is -1.29, which doesn't make sense in this context.
It seems that there might be an error in the given information, since we cannot determine the average price for a taco and enchilada based on the equations provided.
You may want to double-check the numbers or provide additional information to find a solution.