Using a system of equations, it is found that a soft taco costs $1 and a burrito costs $3.
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
You order four soft tacos and three burritos and your total bill is $15, hence:
[tex]4x + 3y = 15[/tex]
Your friend's bill is $9 for two soft tacos and two burritos, hence:
[tex]2x + 2y = 9[/tex]
[tex]x + y = 4.5[/tex]
[tex]y = 4.5 - x[/tex]
Hence, replacing on the first equation:
[tex]4x + 3y = 15[/tex]
[tex]4x + 3(4.5 - y) = 15[/tex]
[tex]x = 1.5[/tex]
[tex]x = 4.5 - 1.5 = 3[/tex]
Hence, a soft taco costs $1 and a burrito costs $3.
To learn more about system of equations, you can take a look at https://brainly.com/question/14183076