Respuesta :

Answer:

The intercepts are

(8,0,0),(0,-28,0),(0,0,-4)

Step-by-step explanation:

we have

[tex]7x-2y-14z=56[/tex]

step 1

Find the x-intercept

The x-intercept is the value of x when the value of y and z are equal to zero

so

For y=0, z=0

substitute

[tex]7x-2(0)-14(0)=56[/tex]

solve for x

[tex]7x=56[/tex]

[tex]x=8[/tex]

The x-intercept is (8,0,0)

step 2

Find the y-intercept

The y-intercept is the value of y when the value of x and z are equal to zero

so

For x=0, z=0

substitute

[tex]7(0)-2y-14(0)=56[/tex]

solve for y

[tex]-2y=56[/tex]

[tex]y=-28[/tex]

The y-intercept is (0,-28,0)

step 3

Find the z-intercept

The z-intercept is the value of z when the value of x and y are equal to zero

so

For x=0, y=0

substitute

[tex]7(0)-2(0)-14z=56[/tex]

solve for z

[tex]-14z=56[/tex]

[tex]z=-4[/tex]

The y-intercept is (0,0,-4)

therefore

The intercepts are

(8,0,0),(0,-28,0),(0,0,-4)

ACCESS MORE