Question

Algebra 2 help please

Answer 1

small pizza=$5. Liter of soda=$1. salad=$3

Step-by-step explanation:

(p= small pizza L= liter of soda s=salad)

2p+L+s=14

p+L+3s=15

3p+L+2s=22

Let's look at the first two lines.

2p+L+s=14

p+L+3s=15

subtract the first from the second line.

*p-2s=-1 (also equals: p=-1+2s)

Now let's look at the last two lines.

p+L+3s=15

3p+L+2s=22

subtract the third from the second.

*2p-s=7

The first line with a "*" shows us what "p" equals, so plug in that to the second line with a "*".

2(-1+2s)-s=7

distributive property

-2+4s-s=7

solve

3s=9

divide both sides by 3

s=3

let's solve for the rest.

2p+L+s=14

p+L+3s=15

3p+L+2s=22

plug in

2p+L+(3)=14

p+L+3(3)=15

3p+L+2(3)=22

solve

2p+L+3=14

p+L+9=15

3p+L+6=22

2p+L=11

p+L=6

3p+L=16

subtract the lines from each other (look back if you forget) and you'll find p=5 and L=1

Good luck and hope this helps. :)