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Find the xx-intercept of the line 14x+11y=−2014x + 11y = -20. 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 14x+11y=−2014x + 11y = -20. 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 14x+11y=−2014x + 11y = -20.\newline14x+11(0)=−2014x + 11(0) = -20\newline14x=−2014x = -20
  2. Substitute yy with 00: Now, we divide both sides by 1414 to solve for xx.14x14=−2014\frac{14x}{14} = \frac{-20}{14}x=−2014x = \frac{-20}{14}
  3. Divide by 1414: Simplify the fraction −2014-\frac{20}{14} by dividing both numerator and denominator by their greatest common divisor, which is 22.
    x=(−20/2)(14/2)x = \frac{(-20 / 2)}{(14 / 2)}
    x=−107x = -\frac{10}{7}

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