Question

Help me!!!

Harry had $32. He spent all the money buying three notebooks for x dollars each and four packs of index cards for y dollars each. If Harry had bought five notebooks and five packs of index cards, he would have run short by $18. The following system of equations models this scenario:

3x + 4y = 32
5x + 5y = 50

Use the system of equations to solve for x and y.

Answer 1

Explanation:

You would start by using one of the equations to find y with x in the equation. You want to pick the easier one. I picked this one because it was evenly divisible.

5x+5y=50

5x=-5y+50

x=-y+10

Then you what to plug that in to the second equation and solve for y.

3(-y+10)+4y=32

-3y+30+4y=32

-3y+4y=2

y=2 (because you combined like terms)

Then you would plug back into the first equation and solve for x.

5x+5(2)=50

5x+10=50

5x=40

x=8

x=8, y=2