Question

Algebra 2 question:

i know it is a three system equation, i would just like to know the three equations and how to get them.
ill solve it myself to save you time if ever sent, thank you

Answer 1

x + y + z = 49

2.50x + 7y + 1.50z = 147

y + 7 = z

Explanation:

Before you even start setting up the equations, create variables for information needed, but not given in the problem:

Variable x = number of tacos

Variable y = number of burritos

Variable z = number of sodas

The first piece of information we are given is the number of items so make this into an equation:

x + y + z = 49

Next we are told how much everything cost in total so make this into an equation:

2.50x + 7y + 1.50z = 147

Lastly, we are informed Rosa bought 7 more sodas than burritos so form an equation using this information:

y + 7 = z