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Solve the system: 6x + 5y = 45 and 4x - 3y = 7. What is the value of y?

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Question: Solve the system: 6x + 5y = 45 and 4x - 3y = 7. What is the value of y?

Options:

  1. 5
  2. 6
  3. 7
  4. 8

Correct Answer: 5

Solution: 

From the first equation, y = (45 - 6x)/5. Substituting into the second gives 4x - 3((45 - 6x)/5) = 7. Solving leads to y = 5.

Solve the system: 6x + 5y = 45 and 4x - 3y = 7. What is the value of y?

Practice Questions

Q1
Solve the system: 6x + 5y = 45 and 4x - 3y = 7. What is the value of y?
  1. 5
  2. 6
  3. 7
  4. 8

Questions & Step-by-Step Solutions

Solve the system: 6x + 5y = 45 and 4x - 3y = 7. What is the value of y?
  • Systems of Equations – The question tests the ability to solve a system of linear equations using substitution.
  • Substitution Method – The solution involves isolating one variable and substituting it into another equation.
  • Algebraic Manipulation – The question requires skills in rearranging and simplifying equations.
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