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For an arbitrary positive integer n≥3, solve the simultaneous equations:

x2=(1/2)x1x3
x3=21x2x4
a) x1=x2=x3=x4=0
b) x1=x2=x3=x4=1
c) Infinite solutions
d) No solution

User Nijah
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1 Answer

6 votes

Final answer:

The question appears to contain incorrectly transcribed system of simultaneous equations, making it impossible to solve for the variables x1, x2, x3, and x4. There is insufficient information provided to determine a solution, emphasizing the importance of accurate equation transcription for problem-solving.

Step-by-step explanation:

The question presents a system of simultaneous equations involving variables x1, x2, x3, and x4 for an arbitrary positive integer n greater than or equal to 3. These equations are possibly transcribed incorrectly as there should be some relationships between the mentioned variables. To solve this particular system, we usually look for values that satisfy all given equations. However, without the full and correct set of equations, we cannot proceed to find a unique or infinite set of solutions.

If the system were consistent and the equations were provided accurately, the typical approach would be to isolate one variable in terms of the others and substitute it into the next equation, continuing this process until all variables are solved. This process might require the use of substitution, elimination, or matrix methods such as row-reduction.

Unfortunately, because the equations provided in the question are incomplete or incorrect, we must declare that there is insufficient information to solve the problem as stated. Therefore, we are unable to determine if the solution is unique, infinite, or if there's no solution at all, until the correct system of equations is provided.

User Patrick Hogan
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7.4k points