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Solve for x and y: 7x + 2y = 34 and 3x + 4y = 18. What is the value of y?

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Question: Solve for x and y: 7x + 2y = 34 and 3x + 4y = 18. What is the value of y?

Options:

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Correct Answer: 3

Solution: 

From the first equation, 2y = 34 - 7x, so y = (34 - 7x)/2. Substituting into the second equation gives 3x + 4(34 - 7x)/2 = 18. Solving leads to y = 3.

Solve for x and y: 7x + 2y = 34 and 3x + 4y = 18. What is the value of y?

Practice Questions

Q1
Solve for x and y: 7x + 2y = 34 and 3x + 4y = 18. What is the value of y?
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Questions & Step-by-Step Solutions

Solve for x and y: 7x + 2y = 34 and 3x + 4y = 18. What is the value of y?
  • Simultaneous Equations – The question tests the ability to solve a system of linear equations using substitution or elimination.
  • Algebraic Manipulation – The question requires rearranging equations and substituting values correctly.
  • Understanding of Variables – The question assesses the understanding of how to isolate variables and solve for them.
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