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Find the xx-intercept of the line 4x+11y=204x + 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 4x+11y=204x + 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 of the line, we need to set yy to 00 and solve for xx. This is because the x-intercept is the point where the line crosses the x-axis, and at this point, the value of yy is 00. So, we substitute y=0y = 0 into the equation 4x+11y=204x + 11y = 20. 4x+11(0)=204x + 11(0) = 20 0000
  2. Substitute yy into equation: Now, we solve for xx by dividing both sides of the equation by 44.\newline4x4=204\frac{4x}{4} = \frac{20}{4}\newlinex=5x = 5

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