Will mark brainliest!
explain how system 1 becomes equivalent to system 2.

system 1:
lx + my = n
ax + by = c

system 2:
(l − a)x + (m − b)y = n − c
lx + my = n

a. the first equation in system 2 is the sum of the equations in system 1. the second equation in system 2 is the first equation in system 1.

b. the first equation in system 1 is the difference of the equations in system 2. the second equation in system 1 is the first equation in system 2.

c. the first equation in system 2 is the difference of the equations in system 1. the second equation in system 2 is the first equation in system 1.

d. the first equation in system 1 is the sum of the equations in system 2. the second equation in system 1 is the first equation in system 2.

B is your answer

Step-by-step explanation:

Think it thru and u will remember it ok

Option C is the answer.

Step-by-step explanation:

System 1 :

Lx + My = N (1)

Ax + By = C (2)

System 2 :

(L - A)x + (M - B)y = N - C (3)

Lx + My = N (4)

If we subtract equation (2) from equation (1),

(Lx + My) - (Ax + By) = N - C

Lx - Ax + My - By = N - C

(L - A)x + (M - B)y = N - C

Which is similar to equation (3) of the system 2.

And equation (1) of the system (1) is similar to the equation (4) of the system (2)

Therefore, equation (3) of the system 2 is the difference of of equations in the system 1. Equation (1) for system 1 is similar to the equation (4) of the system 2.

Option C is the answer.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

- "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."