Find three solutions of the equation y=7x

Step-by-step explanation:

You are given 2 variables. Plug in a number for one variable (the input variable), and get the answer (output variable).

Let: x = 5

Plug in 5 for x in the equation, and solve:

y = 7(x)

y = 7(5)

y = 35

When x = 5, y = 35

Let: x = 20

Plug in 20 for x in the equation, and solve:

y = 7(x)

y = 7(20)

y = 140

When x = 20, y = 140

Let: x = 39

Plug in 39 for x in the equation, and solve:

y = 7(x)

y = 7(39)

y = 247

When x = 39, y = 247.

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- "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."

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,