3. mrs. galicia bought 3 tacos and 2 sodas and paid $9.75. the next day she went back and bought 5 tacos and 1 soda and paid $12.75. (a) write and solve a system of equations that model the problem. show all your work. (b) how much was one soda? (c) how much was one taco?

(a) System of equations: and

(b) One soda costs

(c) One taco costs

SOLUTION:

Given, Mrs. Galicia bought 3 tacos and 2 sodas and paid .  

The next day she went back and bought 5 tacos and 1 soda and paid .  

Let the cost of 1 tacos be m, and cost of 1 soda be n.

Now, We have to find  

(a) System of equations:  

3 tacos and 2 sodas cost

5 tacos and 1 soda cost

System of equations are  

Now,

So, substitute n in (1)

(b) cost of one soda

(c) cost of one taco

f(x) is going down by 4

step-by-step explanation:

(its either that or its going left by 4)

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.