Solve the following system of equations using matrices (row operations). If the

Question

Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is {3x + 4y - z = 3 x - y - z = 0 -5x + 5y + 5z = 0 x + y + 3z = 3 Select the correct choice below and, if necessary, fill in the answer box(es) in your choice. A. The solution is (). (Simplify your answers.) B. There are infinitely many solutions. The solution can be written as {(x, y, z)| x = y = z is any real number}. (Simplify your answers. Type expressions using z as the variable.) C. There are infinitely many solutions. The solution can be written as {(x, y, z)| x = y is any real number, z is any (Simplify your answer. Type expression using y and z as the variables.) D. The system is inconsistent.

Explanation / Answer

By using calculators, we get

Option A is Correct

The solution is (7/8, 1/4, 5/8)

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