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Find the xx-intercept of the line 3x+6y=213x + 6y = 21. 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 3x+6y=213x + 6y = 21. 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 3x+6y=213x + 6y = 21.\newline3x+6(0)=213x + 6(0) = 21\newline3x=213x = 21
  2. Substitute yy in equation: Now, divide both sides of the equation by 33 to solve for xx.3x3=213\frac{3x}{3} = \frac{21}{3}x=7x = 7

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