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If the line 3x + 4y = 12 intersects the x-axis, what is the x-coordinate of the

Practice Questions

Q1
If the line 3x + 4y = 12 intersects the x-axis, what is the x-coordinate of the intersection point?
  1. 4
  2. 3
  3. 2
  4. 1

Questions & Step-by-Step Solutions

If the line 3x + 4y = 12 intersects the x-axis, what is the x-coordinate of the intersection point?
  • Step 1: Understand that the x-axis is where y = 0.
  • Step 2: Substitute y = 0 into the equation 3x + 4y = 12.
  • Step 3: The equation becomes 3x + 4(0) = 12.
  • Step 4: Simplify the equation to 3x = 12.
  • Step 5: Solve for x by dividing both sides by 3: x = 12 / 3.
  • Step 6: Calculate the value: x = 4.
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