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Solve the system: 6x + 5y = 30 and 4x - 3y = 6. What is the value of x?

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Question: Solve the system: 6x + 5y = 30 and 4x - 3y = 6. What is the value of x?

Options:

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Correct Answer: 2

Solution: 

From the first equation, 5y = 30 - 6x, so y = (30 - 6x)/5. Substituting into the second gives 4x - 3(30 - 6x)/5 = 6. Solving leads to x = 2.

Solve the system: 6x + 5y = 30 and 4x - 3y = 6. What is the value of x?

Practice Questions

Q1
Solve the system: 6x + 5y = 30 and 4x - 3y = 6. What is the value of x?
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Questions & Step-by-Step Solutions

Solve the system: 6x + 5y = 30 and 4x - 3y = 6. What is the value of x?
  • Systems of 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 variables to find the solution.
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