Question

What are the intercept of 2X+3y= 6z=30
Answers:
A (15,0,0) ,(0,27,0) ,(0,0,-5)
B (15,0,0),(0,10,0) ,(0,0,5)
C (10,0,0),(0,15,0,)(0,0,5)
D (15,0,0),(0,10,0),(0,0,-5)

Answer 1

The intercepts of the given equations is as given in the task content is; Choice B; (15,0,0),(0,10,0) ,(0,0,5).

What are the intercepts of the equation as give in the task content?

The x-intercept of the given equation can be determined by setting values of y and z to zero.

The y-intercept can be determined by setting x and z to zero.

While the z-intercept can be determined by setting x and y to zero.

Consequently, the X-intercept of the given equations is; 2x +3(0) = 30; x = 15.

Therefore, we have; (15,0,0)

The y-intercept is therefore; 2(0) +3y = 30; 3y = 30; y = 30/3 = 10 and. we have; (0,15,0)

And hence, the z-intercept is; z = 30/6 = 5.

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