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Find the yy-intercept of the line 3x+5y=153x + 5y = 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 yy-intercept of the line 3x+5y=153x + 5y = 15. Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.
  1. Substitute xx with 00: To find the y-intercept of the line, we need to determine the value of yy when xx is equal to 00. We start with the equation 3x+5y=153x + 5y = 15 and substitute xx with 00.\newlineCalculation: 3(0)+5y=153(0) + 5y = 15\newlineSimplification: 5y=155y = 15
  2. Solve for y: Now, we solve for y by dividing both sides of the equation by 55 to isolate yy.\newlineCalculation: 5y5=155\frac{5y}{5} = \frac{15}{5}\newlineSimplification: y=3y = 3

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