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What is the x-intercept of the line represented by the equation 5x + 2y = 10?

Practice Questions

Q1
What is the x-intercept of the line represented by the equation 5x + 2y = 10?
  1. 0
  2. 2
  3. 5
  4. 10

Questions & Step-by-Step Solutions

What is the x-intercept of the line represented by the equation 5x + 2y = 10?
  • Step 1: Start with the equation of the line, which is 5x + 2y = 10.
  • Step 2: To find the x-intercept, we need to set y = 0 because the x-intercept is where the line crosses the x-axis.
  • Step 3: Substitute y = 0 into the equation: 5x + 2(0) = 10.
  • Step 4: Simplify the equation: 5x + 0 = 10, which simplifies to 5x = 10.
  • Step 5: Now, solve for x by dividing both sides of the equation by 5: x = 10 / 5.
  • Step 6: Calculate the result: x = 2.
  • Step 7: Therefore, the x-intercept of the line is 2.
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