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Find the xx-intercept of the line 2x−14y=−162x - 14y = -16. Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

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Standard form: find x- and y-interceptsright chevron icon

Full solution

Q. Find the xx-intercept of the line 2x−14y=−162x - 14y = -16. Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.
  1. Set yy to 00: To find the x-intercept, we set yy to 00 and solve for xx.\newlineSubstitute 00 for yy in 2x−14y=−162x - 14y = -16.\newline2x−14(0)=−162x - 14(0) = -16\newline2x=−162x = -16
  2. Substitute yy with 00: Now, divide both sides of the equation by 22 to solve for xx.2x2=−162\frac{2x}{2} = \frac{-16}{2}x=−8x = -8

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