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Find the xx-intercept of the line 18x−5y=1218x - 5y = 12. 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 18x−5y=1218x - 5y = 12. 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 18x−5y=1218x - 5y = 12.\newline18x−5(0)=1218x - 5(0) = 12\newline18x=1218x = 12
  2. Substitute yy with 00: Now, we divide both sides of the equation by 1818 to solve for xx.
    18x18=1218\frac{18x}{18} = \frac{12}{18}
    x=23x = \frac{2}{3}

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