Solve the following system of equations using matrices row o

Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. x - y = 1 7x - z = 28 7y + 2z = 21 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. The solution is (Simplify your answers.) 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.) There are infinitely many solutions. The solution can be written as {(x, y, z)|x=, y is any real number, z is any real number}. (Simplify your answer. Type an expression using y and z as the variables.) The system is inconsistent.

Solution

Your matrix

Find the pivot in the 1st column in the 1st row

Eliminate the 1st column

Make the pivot in the 2nd column by dividing the 2nd row by 7

Eliminate the 2nd column

Make the pivot in the 3rd column by dividing the 3rd row by 3

Eliminate the 3rd column

Solution set:

x = 4

y = 3

z = 0

	X1	X2	X3	b
1	1	-1	0	1
2	7	0	-1	28
3	0	7	2	21