Solve the system by substitution. 2x – y + z = -4
z = 5

-2x + 3y - z = -10
(-8.7.5)
(-8.-7.5)
(8.–7.5)
(-8, -7 -5)

{x,y,z} = {-8,-7,5}

Step-by-step explanation:

/ Solve equation [2] for the variable  z  

  [2]    z = 5  

// Plug this in for variable  z  in equation [1]

  [1]    2x - y + (5) = -4

  [1]    2x - y = -9

// Plug this in for variable  z  in equation [3]

  [3]    -2x + 3y - (5) = -10

  [3]    -2x + 3y = -5

// Solve equation [1] for the variable  y  

 [1]    y = 2x + 9  

// Plug this in for variable  y  in equation [3]  

  [3]    -2x + 3•(2x+9) = -5

  [3]    4x = -32

// Solve equation [3] for the variable  x  

  [3]    4x = - 32  

  [3]    x = - 8  

// By now we know this much :

x = -8

   y = 2x+9

   z = 5

// Use the  x  value to solve for  y  

 y = 2(-8)+9 = -7  

Solution :

{x,y,z} = {-8,-7,5}

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)

- r3ktforgood ☕