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Find the xx-intercept of the line 8x+14y=158x + 14y = 15. 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 8x+14y=158x + 14y = 15. 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 xx-intercept of the line, we need to set yy to 00 and solve for xx. This is because the xx-intercept is the point where the line crosses the xx-axis, and at this point, the value of yy is 00.
  2. Substitute y=0y = 0: Substitute y=0y = 0 into the equation 8x+14y=158x + 14y = 15.
    8x+14(0)=158x + 14(0) = 15
    8x=158x = 15
  3. Solve for x: Now, solve for x by dividing both sides of the equation by 88. \newline8x8=158\frac{8x}{8} = \frac{15}{8}\newlinex=158x = \frac{15}{8}

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