A system of two linear equations has infinitely many solutions. One equation is x - 2y=6. Select the equation that would make this system have infinitely many solutions.

A .x + 2y = 6

B .x-2y = 4

C . 2y-x= -6

D .- 2y + x=4

C . 2y-x= -6

Step-by-step explanation:

A system of linear equations can have no solution, a unique solution or infinitely many solution.

We say two linear equations has infinitely many solutions when the result is true.

To determine if a system has infinitely many solutions, the coefficient of their respective variables (x and y) would be equal. Also the constant of both equations would be equal.

Given that x - 2y = 6

The coefficient of x is 1, coefficient of y is -2 and constant is 6. The equation with the same attributes is:

C . 2y-x= -6

2y - x = -6

multiply through by -1

x - 2y = 6

It is same as the above

Adding both x - 2y = 6 and 2y-x= -6 gives 0 = 0

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step-by-step explanation:

save it by not spending on unnecessary stuff and have more

answer: e 9, 5.75

step-by-step explanation:

step 1

find the variation ab in the x coordinate

delta x=(x2-x1)=10-> 8 units

find the variation ab  in the y coordinate 

delta y=(y2-y1)=6-> 2 units

step 2

find the coordinates point c

  x coordinate 

cx=ax+delta x*2/> cx=2+8*(2/> cx=3

  y coordinate 

cy=ay+delta y*2/> cy=4+2*(2/> cy=4.25

the coordinates of point c are (3,4.25)

step 3

find the coordinates point d

  x  coordinate 

dx=ax+delta x*4/> dx=2+8*(4/> dx=4

  y  coordinate 

dy=ay+delta y*4/> dy=4+2*(4/> dy=4.5

the coordinates of point d are (4, 4.5)

step 4

find the coordinates point e

  x  coordinate 

ex=ax+delta x*4/> ex=2+8*(6/> ex=5

  y  coordinate 

ey=ay+delta y*4/> ey=4+2*(6/> ey=4.75

the coordinates of point e are (5, 4.75)

step 5

find the coordinates point f

  x  coordinate 

fx=ax+delta x*4/> fx=2+8*(8/> fx=6

  y  coordinate 

fy=ay+delta y*4/> fy=4+2*(8/> fy=5

the coordinates of point f are (6,5)

step 6

find the coordinates point g

  x  coordinate 

gx=ax+delta x*4/> gx=2+8*(10/> gx=7

  y  coordinate 

gy=ay+delta y*4/> gy=4+2*(10/> gy=5.25

the coordinates of point g are (7,5.25)

step 7

find the coordinates point h

  x  coordinate 

hx=ax+delta x*4/> hx=2+8*(12/> hx=8

  y  coordinate 

hy=ay+delta y*4/> hy=4+2*(12/> hy=5.5

the coordinates of point h are (8,5.5)

step 8

find the coordinates point i

  x  coordinate 

ix=ax+delta x*4/> ix=2+8*(14/> ix=9

  y  coordinate 

iy=ay+delta y*4/> iy=4+2*(14/> iy=5.75

the coordinates of point i are (9,5.75)

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