Question

x: number of minutes
y: number of steps
how many solutions does this system of equations have?
one solution
what is the solution of the system of equations?
(?, ?)
chart: kellan: y = 150 - 15x, luka: y = 10x, x-axis: minutes, y-axis: steps

Explanation:

Step1: Identify the intersection point

The solution of a system of linear equations is the point where their graphs intersect. From the graph, we look for the common point of Kellan's line (\(y = 150 - 15x\)) and Luka's line (\(y = 10x\)).

Step2: Find the x and y values

Looking at the graph, the lines intersect at \(x = 6\) (minutes) and \(y = 60\) (steps). We can also verify by solving the equations:
Set \(150 - 15x = 10x\)
\(150 = 25x\)
\(x = 6\)
Then \(y = 10(6)=60\)

Answer:

\((6, 60)\)