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Find the xx-intercept of the line 5x+11y=−25x + 11y = -2. 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 5x+11y=−25x + 11y = -2. 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 the equation 5x+11y=−25x + 11y = -2.\newline5x+11(0)=−25x + 11(0) = -2\newline5x=−25x = -2
  2. Substitute in equation: Now, we solve for xx by dividing both sides of the equation by 55.5x5=−25\frac{5x}{5} = \frac{-2}{5}x=−25x = \frac{-2}{5}

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