Question

solve the system of equations. 2 burger and 5 hotdogs for $12.75 total and 3 burger and 2 hotdogs for $12.25 total?

Answer 1

Lets define the variables

x - burger

y - hotdogs

Now lets write our equation

2x+5y=12.75

3x+2y=12.25

Now we solve by subsitution or elimination.

2x+5y=12.75

0.4x+y=2.55

y=-0.4x+2.55

3x+2(-0.4x+2.55)=12.25

3x-0.8x+5.1=12.25

2.2x=7.15

x=3.25

Plug in X

3(3.25)+2y=12.25

9.75+2y=12.25

2y=2.5

y=1.25

Your final answer is 3.25, 1.25

Plug it in to check!