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Find x and y from: 8x + 7y = 56 and 3x + 2y = 18. What is the value of x?

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Question: Find x and y from: 8x + 7y = 56 and 3x + 2y = 18. What is the value of x?

Options:

  1. 4
  2. 5
  3. 6
  4. 7

Correct Answer: 4

Solution:

From the first equation, 7y = 56 - 8x. Substituting into the second gives 3x + 2(56 - 8x)/7 = 18. Solving gives x = 4.

Find x and y from: 8x + 7y = 56 and 3x + 2y = 18. What is the value of x?

Practice Questions

Q1
Find x and y from: 8x + 7y = 56 and 3x + 2y = 18. What is the value of x?
  1. 4
  2. 5
  3. 6
  4. 7

Questions & Step-by-Step Solutions

Find x and y from: 8x + 7y = 56 and 3x + 2y = 18. What is the value of x?
  • Simultaneous Equations – The question tests the ability to solve a system of linear equations using substitution or elimination methods.
  • Algebraic Manipulation – The question requires skills in rearranging equations and substituting values correctly.
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