Solve the system of equations. If the system has no solution, say that it is inc

Question

Solve the system of equations. If the system has no solution, say that it is inconsistent. {x + 3y = 6 2x + 6y = 12 Select the correct choice below and, if necessary, fill in any answer boxes within your choice. A. The solution is x = y = (Type integers or simplified fractions.) B. There are infinitely many solutions. Using ordered pairs, they can be expressed as {(x, y) | x = y any real number (Simplify your answer. Type expressions using y as the variable as needed.) C.. The system is inconsistent.

Explanation / Answer

Solution: (option-B)

Here;

x+3y = 6

=> x = 6-3y ----eq1

and

2x + 6y = 12

=> 2(6-3y) + 6y = 12 (by eq1)

=> 12 -6y +6y = 12

=> x can have any values to satisfy these equations

same goes for y

=> B is correct!

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