Use the gauss-jordan method to solve the following system of equations. 3x + 7y - 2z = 0 7x - y + 3z = 1 10x + 6y + z = 1 select the correct choice below and, if necessary, fill in the answer box to complete your choice. the solution is ( c i d), in the order x, y, z. (simplify your answers.) ob. there is an infinite number of solutions. the solution is o c. there is no solution. z), where z is any real number.

The system of equations has infinitely many solutions

Step-by-step explanation:

We have the following system of equations:

The augmented matrix of the system is:

The first step is to transform the augmented matrix to the reduced row echelon form as follows:

Row Operation 1: multiply the 1st row by 1/3

Row Operation 2: add -7 times the 1st row to the 2nd row

Row Operation 3: add -10 times the 1st row to the 3rd row

Row Operation 4: multiply the 2nd row by -3/52

Row Operation 5: add 52/3 times the 2nd row to the 3rd row

Row Operation 6: add -7/3 times the 2nd row to the 1st row

The second step is interpret the reduced row echelon form from this we have the following system:

We can see that the last row of the system is 0 = 0 this means that the system has infinitely many solutions.

Photo math will give you the step by step answer : )

Add the cents that add the left overs to get the first number