What are the intercepts of 2x -3y -4z = -24 ?

a. (–12, 0, 0), (0, –8, 0), (0, 0, –6)

b. (–12, 0, 0), (0, 8, 0), (0, 0, 6)

c. (–12, 0, 0), (0, 8, 0), (0, 0, –6)

d. (–12, 0, 0), (0, –8, 0), (0, 0, 6)

What is the solution to the system of equations?

x- 3y - z = -9

-2 x + y + 2z =3

2x + y + 3z =8

a. (1, 3, 1)

b. (1, 3, –1)

c. (–1, 3, 1)

d. (1, –3, 1)

Answers

1. b. (–12, 0, 0), (0, 8, 0), (0, 0, 6)

2. a. (1, 3, 1)

im sending the explaination in a few.

While finding the intercepts of an equation we replace the other values with 0. the order is x,y,z

What are the intercepts of 2x -3y -4z = -24

x intrecept = 2x = -24 so x = -24/2 = -12 = (-12,0,0)

y intercept = -3y = -24 so y = -24/-3 = 8 = (0,8,0)

z intercept = -4z = -24 so z = -24/-4 = 6 = (0,0,6)

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