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If the equation of a line is given as 2x + 3y = 6, what is the value of y when x

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Question: If the equation of a line is given as 2x + 3y = 6, what is the value of y when x = 0?

Options:

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

Correct Answer: 2

Solution: 

Substituting x = 0 into the equation 2(0) + 3y = 6 gives 3y = 6, thus y = 2.

If the equation of a line is given as 2x + 3y = 6, what is the value of y when x

Practice Questions

Q1
If the equation of a line is given as 2x + 3y = 6, what is the value of y when x = 0?
  1. 0
  2. 2
  3. 3
  4. 4

Questions & Step-by-Step Solutions

If the equation of a line is given as 2x + 3y = 6, what is the value of y when x = 0?
  • Step 1: Start with the equation of the line: 2x + 3y = 6.
  • Step 2: We need to find the value of y when x = 0.
  • Step 3: Substitute x = 0 into the equation: 2(0) + 3y = 6.
  • Step 4: Calculate 2(0), which is 0. So the equation simplifies to: 0 + 3y = 6.
  • Step 5: This simplifies to: 3y = 6.
  • Step 6: To find y, divide both sides of the equation by 3: y = 6 / 3.
  • Step 7: Calculate 6 / 3, which equals 2. So, y = 2.
  • Linear Equations – Understanding how to manipulate and solve linear equations for specific variable values.
  • Substitution – Applying substitution of a variable into an equation to find the corresponding value of another variable.
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