Question

what are the solutions? pls box answers

Η Αμμ5 e Laredo College PA... 3 Microsoft Word - I... MATH 1314.EP1 College Algebra S.S. 1 Online 2020 Homework: Quiz 8.2 Systems of Linear Equations: Matrices Score: 0 of 1 pt 10 of 15 (10 complete) X 8.2.49 Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent x - y = 6 3x - 2z = 21 3y + 5z = 3 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The solution is (1) (Simplify your answers.) OB. 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.) OC. 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.) OD. The system is inconsistent.

Answer 1

8.2.49 Given system of equation is X-Y = 6 3X-22 = 21 37 +52 = 3 iThe augment matrix is - -1 0 6 3 0 -2 21 3 5 3 Applying row operation to find echelon matrix. - 6 -1 0 0 6 R2-3R1 21 0 -2 0 3 - 2 3 3 3 5 3 0 3 5 3 6 0 7 - IR2 - Rit R2, er wino 0 - 2/3 o R₂-3Rq 0 3 3 O 0 7. 0 - 0 7 0 0 R3 ullo euro + - 0 0 Rit 23 R3 Ryte I CH3 - a 0 0 0 0 0 CS Scanned with CamScanner

Therefore we get o 0 7 o .. x.= 7 y = 1 Z = 0 0 0 o Hence the result is A. The solution is (2,0,0) CS Scanned with CamScanner

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