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Find the xx-intercept of the line 7x−17y=−287x - 17y = -28. 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 7x−17y=−287x - 17y = -28. 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 need to set yy to 00 and solve for xx.\newlineSubstitute 00 for yy in the equation 7x−17y=−287x - 17y = -28.\newline7x−17(0)=−287x - 17(0) = -28\newline7x=−287x = -28
  2. Substitute yy with 00: Now, we divide both sides of the equation by 77 to solve for xx.7x7=−287\frac{7x}{7} = \frac{-28}{7}x=−4x = -4

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