Choose the system of equations that matches the following graph:

5x-y=7
2x-y=0

5x-y=7
2x+y=0

5x+y=-7
2x+y=0

5x+y=-7
2x-y=0

5x-y=7

2x+y=0

Step-by-step explanation:

Given system of equations:

5x-y=7   eq1

2x+y=0   eq2

By adding both equations we get:

7x = 7

Dividing both sides by 7 we get:

x = 1

Now putting value of x in eq2

2(1) + y = 0

2+ y = 0

y = -2

So the solution set is (1 , -2)

By looking at the given graph:

The intersection point of two lines is (1 , -2)

Hence proved that the given system of equations matches the graph.

i hope it will help you!

- "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."