Question

Examine the system of equations.

t = 5c + 35,

t = 10c

How many solutions will the system have?


What is the reason you determined that number of solutions?

Answer 1

How many solutions will the system have?

✔ one solution

What is the reason you determined that number of solutions?

✔ The equations graph intersecting lines.

Answer 2

• One solution

Explanation:

Analyzing both equations

• Simplify both to simplest form

1. y = 5c + 35 = c + 7
2. y = 10c

• Slope is different

As the slopes are different, then it can be concluded that the system has only one solution.