Which statements are true about the ordered pair (2, 3) and the system of equations?

3x+4y=182x−2y=23x+4y=182x−2y=2

select each correct answer.

when (2, 3) is substituted into the first equation, the equation is false.

the ordered pair (2, 3) is a solution to the system of linear equations.

when (2, 3) is substituted into the first equation, the equation is true.

when (2, 3) is substituted into the second equation, the equation is false.

when (2, 3) is substituted into the second equation, the equation is true.

the ordered pair (2, 3) is not a solution to the system of linear equations.

When is substituted into the first equation, the equation is true

When is substituted into the second equation, the equation is false

The ordered pair is not a solution to the system of linear equations

Step-by-step explanation:

we have

--------> First equation

--------> Second equation

we know that

If a ordered pair is a solution of a system of linear equations

then

the ordered pair must be satisfy the first and the second equation of the system of linear equations

Statements

case A) When is substituted into the first equation, the equation is false

The statement is false

Substitute the value of x and the value of y of the point in the first equation

 -------> is true

therefore

the point is a solution of the first equation

case B) The ordered pair is a solution to the system of linear equations

The statement is false

Because, the ordered pair is not a solution of the second equation

Verify

Substitute the value of x and the value of y of the point in the second equation

------> is not true

therefore

the ordered pair is not a solution of the second equation

case C) When is substituted into the first equation, the equation is true

The statement is true

Substitute the value of x and the value of y of the point in the first equation

 -------> is true

therefore

the point is a solution of the first equation

case D) When is substituted into the second equation, the equation is false

The statement is true

Substitute the value of x and the value of y of the point in the second equation

------> is not true

case E) When is substituted into the second equation, the equation is true

The statement is false

Substitute the value of x and the value of y of the point in the second equation

------> is not true

case F) The ordered pair is not a solution to the system of linear equations

The statement is true

Because, the ordered pair is not a solution of the second equation

i dont know

step-by-step explanation:

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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