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Solve for x and y: 7x + 2y = 14 and 3x + 4y = 18. What is the value of x?

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Question: Solve for x and y: 7x + 2y = 14 and 3x + 4y = 18. What is the value of x?

Options:

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Correct Answer: 2

Solution: 

From the first equation, y = (14 - 7x)/2. Substituting into the second gives 3x + 4((14 - 7x)/2) = 18. Solving leads to x = 2.

Solve for x and y: 7x + 2y = 14 and 3x + 4y = 18. What is the value of x?

Practice Questions

Q1
Solve for x and y: 7x + 2y = 14 and 3x + 4y = 18. What is the value of x?
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Questions & Step-by-Step Solutions

Solve for x and y: 7x + 2y = 14 and 3x + 4y = 18. What is the value of x?
  • Systems of Equations – The question tests the ability to solve a system of linear equations using substitution.
  • Algebraic Manipulation – It assesses skills in rearranging equations and substituting variables correctly.
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