Solve the system by using elementary row operations on the equations. Follow the systematic elimination procedure....
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Solve the system by using elementary row operations on the equations. Follow the systematic elimination procedure. X + 5x2 = 13 2x + 7x2 = 14 Find the solution to the system of equations. 0 Find the point (x,x2) that lies on the line x + 2x2 = 7 and on the line x - x2 = 2. See the figure. The point (x,x2) that lies on the line x + 2x = 7 and on the line x - x2 = -2 is (Simplify your answer. Type an ordered pair.) x2 X1 Consider the accompanying matrix as the augmented matrix of a linear system. State in words the next two elementary row operations that should be performed in the process of solving the system. What should be the first elementary row operation performed? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. Scale row 1 by. (Type an integer or a simplified fraction.) B. Replace row 4 by its sum with (Type an integer or a simplified times row 3. fraction.) Replace row 2 by its sum with (Type an integer or a simplified fraction.) D. Interchange row 3 and row 2. times row 4. 1 - 6 30-2 0 0 0 3-70 4 1 2 - 4 3 1 3 0 0 Solve the system. x1 3x3 4x1 + 4x2 + 3x3 = 21 2x2 + 5x3 = 1 = 6 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The unique solution of the system is (). (Type integers or simplified fractions.) B. The system has infinitely many solutions. C. The system has no solution. Determine if the given system is consistent. Do not completely solve the system. - 6x4 2x1 -3x1 2X2 + 5x2 + 2x3 x3 + 3x3 + 6x4 + X4 = = = = - 14 0 1 23 Solve the system by using elementary row operations on the equations. Follow the systematic elimination procedure. X + 5x2 = 13 2x + 7x2 = 14 Find the solution to the system of equations. 0 Find the point (x,x2) that lies on the line x + 2x2 = 7 and on the line x - x2 = 2. See the figure. The point (x,x2) that lies on the line x + 2x = 7 and on the line x - x2 = -2 is (Simplify your answer. Type an ordered pair.) x2 X1 Consider the accompanying matrix as the augmented matrix of a linear system. State in words the next two elementary row operations that should be performed in the process of solving the system. What should be the first elementary row operation performed? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. Scale row 1 by. (Type an integer or a simplified fraction.) B. Replace row 4 by its sum with (Type an integer or a simplified times row 3. fraction.) Replace row 2 by its sum with (Type an integer or a simplified fraction.) D. Interchange row 3 and row 2. times row 4. 1 - 6 30-2 0 0 0 3-70 4 1 2 - 4 3 1 3 0 0 Solve the system. x1 3x3 4x1 + 4x2 + 3x3 = 21 2x2 + 5x3 = 1 = 6 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The unique solution of the system is (). (Type integers or simplified fractions.) B. The system has infinitely many solutions. C. The system has no solution. Determine if the given system is consistent. Do not completely solve the system. - 6x4 2x1 -3x1 2X2 + 5x2 + 2x3 x3 + 3x3 + 6x4 + X4 = = = = - 14 0 1 23
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