Question

walking dog: $y = 100x$
buying groceries: $y = 50x + 200$
what does the graph show to be the
solution of the system?
$\big(\\ 4\\ ,\\ 400\\ \big)$
what does the solution mean in the
context of the problem?
complete the statement.
after $4$ minutes walking her dog
or $4$ minutes buying groceries,
aliyah will have taken $400$ steps.
graph: two lines $y = 100x$ (passing through origin, steep) and $y = 50x + 200$ (y-intercept 200, less steep) intersecting at (4, 400) on a grid with x from 0 - 10 and y from 0 - 500

Explanation:

The solution of the system of equations is the intersection point of the two lines on the graph. For the context, the x-values represent time in minutes and y-values represent steps taken, so the intersection means equal steps at the same time.

Answer:

(4, 400)
After 4 minutes walking her dog or 4 minutes buying groceries, Aliyah will have taken 400 steps.