What is the x-intercept for the function -12x - y + 7z = 96? Type your answer as a point, (x,y,z),

Please help I keep getting fractions for the points! Thank you in advance.

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David M. | Dave "The Math Whiz"Dave "The Math Whiz"

Marked as Best Answer

An x-intercept means where does the equation when graphed cross the x-axis? Looking at the equation one can see that when graphed it gives a line in 3-d space. Whenever a line crosses the x-axis, it means that the y & z values must equal 0. Therefore, we must solve for x when y & z both have values of 0. We get:

-12x -y + 7z = 96 original equation

-12x - 0 + 7(0) = 96 substitute y & z with 0

-12x = 96 simplify

x = 96/-12 divide both sides by -12

x = -8 solve for x

The answer is the point (-8,0,0).

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