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If the point (x, y) lies on the line 3x - 4y = 12, what is the value of y when x

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Question: If the point (x, y) lies on the line 3x - 4y = 12, what is the value of y when x = 4? (2023)

Options:

  1. 0
  2. 3
  3. 4
  4. 2

Correct Answer: 2

Exam Year: 2023

Solution: 

Substituting x = 4 gives 3(4) - 4y = 12 => 12 - 4y = 12 => y = 0.

If the point (x, y) lies on the line 3x - 4y = 12, what is the value of y when x

Practice Questions

Q1
If the point (x, y) lies on the line 3x - 4y = 12, what is the value of y when x = 4? (2023)
  1. 0
  2. 3
  3. 4
  4. 2

Questions & Step-by-Step Solutions

If the point (x, y) lies on the line 3x - 4y = 12, what is the value of y when x = 4? (2023)
  • Step 1: Start with the equation of the line: 3x - 4y = 12.
  • Step 2: Substitute the value of x (which is 4) into the equation: 3(4) - 4y = 12.
  • Step 3: Calculate 3(4): This equals 12, so the equation now looks like: 12 - 4y = 12.
  • Step 4: To isolate -4y, subtract 12 from both sides of the equation: 12 - 4y - 12 = 12 - 12.
  • Step 5: This simplifies to: -4y = 0.
  • Step 6: To find y, divide both sides by -4: y = 0 / -4.
  • Step 7: This simplifies to: y = 0.
  • Linear Equations – Understanding how to manipulate and solve linear equations in two variables.
  • Substitution – Applying the substitution method to find the value of one variable when the other is known.
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