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Solve the equations: 2x + 3y = 12 and x - y = 1. What is the value of x?

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Question: Solve the equations: 2x + 3y = 12 and x - y = 1. What is the value of x?

Options:

  1. 2
  2. 3
  3. 4
  4. 5

Correct Answer: 3

Solution: 

From the second equation, x = y + 1. Substituting into the first gives 2(y + 1) + 3y = 12. Simplifying, 2y + 2 + 3y = 12, so 5y = 10, thus y = 2. Therefore, x = 3.

Solve the equations: 2x + 3y = 12 and x - y = 1. What is the value of x?

Practice Questions

Q1
Solve the equations: 2x + 3y = 12 and x - y = 1. What is the value of x?
  1. 2
  2. 3
  3. 4
  4. 5

Questions & Step-by-Step Solutions

Solve the equations: 2x + 3y = 12 and x - y = 1. What is the value of x?
  • Systems of Equations – The question tests the ability to solve a system of linear equations using substitution.
  • Substitution Method – The solution involves substituting one variable in terms of another to simplify the equations.
  • Algebraic Manipulation – The question requires skills in simplifying and rearranging equations.
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