HELP how many solutions does this linear system have?

Yes. Your answer is correct. There is only one solution:. (1, -4).

Step-by-step explanation:

If you plug in 1 for x and -4 for y both sides of the equation are equal to each other. (Because the points are (x, y))

But any other answer is not right because when you plug in the answer the sides don't equal each other.

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."