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Find the xx-intercept of the line 12x+11y=812x + 11y = 8. 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 12x+11y=812x + 11y = 8. 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 12x+11y=812x + 11y = 8.\newline12x+11(0)=812x + 11(0) = 8\newline12x=812x = 8
  2. Substitute yy with 00: Now, we divide both sides of the equation by 1212 to solve for xx.12x12=812\frac{12x}{12} = \frac{8}{12}x=23x = \frac{2}{3}

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