Question

Solve using augmented matrix methods 12x1+ 16x2 = 8 6x1-8x2=-4 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. ○ A. The unique solution is x,- and X2-L. (Simplify your answer.) ○B. The system has infinitely many solutions. The solution is x,-| | and X2-t. Simplify your answer. Type an expression using t as the variable. Do not factor.) There is no solution. C.

Answer 1

The equation 1 can be written as

-2()= -2*-4

So the equation 1 becomes which is same as the second equation

So we have one equation and 2 unknowns so it has infinite number of solutions so let $x{_{_{2}}}$ =t then $x{_{_{1}}}$ = (-4+8*t)/6 so option b is correct