Question

Solving systems by elimination: Abbie bought a combination of streamers and balloons for a birthday party. The number of balloons, y, was three less than two times the amount of streamers perchased, x,. If Abbie bought a combination of 9 balloons and streamers, what system of equations can represent the situation?

Answer 1

To represent the situation where Abbie bought a combination of 9 balloons and streamers, we can set up a system of equations: y = 2x - 3 and x + y = 9.

Step-by-step explanation:

To represent the situation where Abbie bought a combination of 9 balloons and streamers, we can set up a system of equations based on the given information.

Let x represent the number of streamers and y represent the number of balloons.

The number of balloons, y, was three less than two times the amount of streamers purchased, x.

This can be written as y = 2x - 3.

Additionally, since Abbie bought a combination of 9 balloons and streamers, we can form the equation x + y = 9.

So the system of equations that represents the situation is:

y = 2x - 3

x + y = 9