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In the equation 4x - 2y = 8, what is the value of y when x = 2?

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Question: In the equation 4x - 2y = 8, what is the value of y when x = 2?

Options:

  1. 0
  2. 2
  3. 4
  4. 6

Correct Answer: 2

Solution: 

Substituting x = 2 into the equation gives 4(2) - 2y = 8, leading to y = 2.

In the equation 4x - 2y = 8, what is the value of y when x = 2?

Practice Questions

Q1
In the equation 4x - 2y = 8, what is the value of y when x = 2?
  1. 0
  2. 2
  3. 4
  4. 6

Questions & Step-by-Step Solutions

In the equation 4x - 2y = 8, what is the value of y when x = 2?
  • Step 1: Start with the equation 4x - 2y = 8.
  • Step 2: Substitute the value of x (which is 2) into the equation.
  • Step 3: Replace x in the equation: 4(2) - 2y = 8.
  • Step 4: Calculate 4(2) which equals 8, so the equation becomes 8 - 2y = 8.
  • Step 5: To isolate -2y, subtract 8 from both sides: 8 - 2y - 8 = 8 - 8.
  • Step 6: This simplifies to -2y = 0.
  • Step 7: To find y, divide both sides by -2: y = 0 / -2.
  • Step 8: This simplifies to y = 0.
  • Linear Equations – Understanding how to manipulate and solve linear equations by substituting values.
  • Substitution – The process of replacing a variable with a given value to find the corresponding value of another variable.
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