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If 2x + 3y = 12 and y = 2, what is the value of x?

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Question: If 2x + 3y = 12 and y = 2, what is the value of x?

Options:

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  3. 2
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Correct Answer: 2

Solution: 

Step 1: Substitute y = 2 into the equation: 2x + 6 = 12. Step 2: Subtract 6: 2x = 6. Step 3: Divide by 2: x = 3.

If 2x + 3y = 12 and y = 2, what is the value of x?

Practice Questions

Q1
If 2x + 3y = 12 and y = 2, what is the value of x?
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  2. 1
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Questions & Step-by-Step Solutions

If 2x + 3y = 12 and y = 2, what is the value of x?
  • Step 1: Substitute y = 2 into the equation 2x + 3y = 12. This gives us 2x + 3(2) = 12.
  • Step 2: Calculate 3(2) which equals 6. Now the equation is 2x + 6 = 12.
  • Step 3: Subtract 6 from both sides of the equation: 2x + 6 - 6 = 12 - 6. This simplifies to 2x = 6.
  • Step 4: Divide both sides of the equation by 2 to solve for x: 2x / 2 = 6 / 2. This gives us x = 3.
  • Substitution – The process of replacing a variable in an equation with a given value to solve for another variable.
  • Linear Equations – Understanding how to manipulate and solve linear equations involving two variables.
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