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Find the xx-intercept of the line 9x−3y=249x - 3y = 24. 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 9x−3y=249x - 3y = 24. 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 9x−3y=249x - 3y = 24.\newline9x−3(0)=249x - 3(0) = 24\newline9x=249x = 24
  2. Substitute yy with 00: Now, we divide both sides of the equation by 99 to solve for xx.9x9=249\frac{9x}{9} = \frac{24}{9}x=83x = \frac{8}{3}

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