x + 2y + 4z = 6 y + 2z = 3 x + y + 2z = 1 To convert the system to reduced echelon form the following EROS are performed. (1) -3R3 + R2 (ii) -R1 + R3 (iii) R2 + R3 (iv) -2R2 + R1 (v) -1/2 R3 Identify the correct order of the EROS. Select one: O a. (ii), (iv), (iii), (v), (i) O b. (ii), (v), (iii), (i), (iv) O c. (iii), (ii), (i), (iv), (v) O d. (i), (ii), (iii), (iv), (v) O e. (iii), (i), (ii), (v), (iv)

The linear system is not in echelon form. Correct Letter(s): 6x1 Begin by choosing which of the following statements are correct. If there is more than one reason why the system is not in echelon form, type the letters as a comma separated list. Now write the system in echelon form. Equation 1: Equation 2: Equation 3: 3x3 = -6 3x3 X2 + 7x2 + 3x3 A. The system is not in echelon form because a variable is the leading variable of two or more equations. - B. The system is not in echelon form because the system is not organized in a descending "stair step" pattern so that the index of the leading variables increases from the top to bottom. stem is not in echelon form because not every equation has a leading variable. (x1, x2, x3): = = 0 12 Finally, solve the system. Use x1, x2, and x3 to enter the variables x₁, x2, and x3. If necessary, use s1, s2, etc. to enter the free variables $1, 82, etc. -(000)

Solve the following system of equation (1) x+y+z= 10 (2) y+ 2z = 6 (3) O O Z=0 (4, -6,0) (-4,6,0) (4.6.0)

-3x - 2y = 7 -12x+py = −7 What value of p makes this system inconsistent? р