Find the solution of this system of equations -4x-y=-18 , -7x+y=-4

  (x, y) = (2, 10)

Step-by-step explanation:

Adding the two equations will eliminate the y-variable:

  (-4x -y) +(-7x +y) = (-18) +(-4)

  -11x = -22 . . . . . simplify

  x = 2 . . . . . . . . . divide by -11

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Put this into the first equation to find y:

  -4·2 -y = -18

  -8 +18 = y = 10 . . . . . add 18+y

The solution is (x, y) = (2, 10).

x = 2 and y = 10

Step-by-step explanation:

It is given that,

-4x - y = -18 ---(1)

-7x + y= -4   ---(2)

To find the solution of equations

Step 1:  Add eq(1) + eq(2)

-4x - y = -18 ---(1)

-7x + y=  -4   ---(2)

-11x + 0 = -22

11x = 22

x = 22/11 = 2

Step 2: Substitute the value of x in eq (2)

-7x + y= -4   ---(2)

-7*2 + y = -4

-14 + y = -4

y = -4 + 14 = 10

Therefore x = 2 and y = 10

goog may have it for 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."