Word Count : 560

---

We are given the system of equations: $$ \begin{aligned} (1)\quad & x - 3y + 4 = 0 \\ (2)\quad & 3x - 2y = \lambda \\ (3)\quad & y = 6 - 2x \end{aligned} $$ We are to apply Gaussian elimination to find values of $\lambda$ (you wrote $A$, but the symbol in the equation is $\lambda$) for which this system is consistent (i.e., has at least one solution). --- ### Step 1: Express the system in augmented matrix form But first, write the system in standard form $Ax = b$: From (1): $$ x - 3y = -4 $$ From (2): $$ 3x - 2y = \lambda $$ From (3): ______ ________ ____ __________ _________ ____ ___ ______ ______.
_____ _________ _______ ______ _____ _________ __________ __________ _________.
_____ ____ ______ ____ ______ ______ ______ _______ ____.
_________ _______ _______ _________ __________ __________ ________ _________ __________ ___.
___ ______ ___ __________ _________ __________ _______ _____ ____ _____ _________.
_____ ______ ____ _____ ___ _____.
__________ ____ _______ ___ _________ _______ ______ ____ ___ __________.
_________ ______ _______ _________ _____ _______ __________ ______ ______ _______ ______ ___.
__________ ____ _______ _______ _______ ___ _______ ________.
____ ______ ___ ____ ____ _________ ____ _____ ________ _________ __________.
________ _______ ______ ___ __________ _________ _______ ________ ____ __________ ____.
__________ ______ ______ _________ ______ _______ _____ _____.
____ _______ _________ ____ ____ _____ _________ ___ ________ _______ _____ __________.
______ ___ ___ ___ _______ _________.
____ _____ ___ __________ ________ ____ ______ ________ ________.
____ _____ ____ _________ _________ ___ ____ _________ ________ _________.
____ ___ ______ _____ _____ ____ ____ _________.
________ ___ __________ _____ _______.
________ _____ ________ ________ __________ ____ ___ ______ __________ ______ ____.
________ ______ ______ _______ _____ ________ _________ ___.
____ __________ ________ ______ __________ _________ __________ ________ ______ __________ _____.
______ ____ ________ ________ ________ _____ ____.
______ _________ ___ _________ _________ _____.
______ _________ ____ ____ ___.
________ ____ _____ ___ _________.
__________ __________ ___ _______ ___ __________ ________ ____ _____ ________.
__________ ________ _____ _____ _____ _________ _____ ___ ______ ____ _____.
____ ________ ____ __________ ________ ________ ______.
__________ _____ ________ ________ ______ _________ ___ ______.
________ _____ _____ __________ ________ ______ ____ ____ ______ ____.
________ _________ _________ ____ _____ _____.
___ __________ ___ __________ _________ _________ ____ ___.
______ _________ ____ _________ ______ ______ ______ ___ ________ ____ __________.
____ _____ __________ ________ _____ ______ ____ ___.
_________ ________ ________ __________ __________ ________ _______ __________ _______ ________ ____.
____ ____ ____ _____ _______ ________ __________ ________ ____ _____.
________ _______ _____ ___ _________ _____.
____ _____ ______ ___ _____ ________ __________ _________ ____ ____ ___.
____ _____ _____ ________ _______ ______.
______ __________ ____ ________ _____ ______.
__________ ______ __________ ____ ______ ____ ______ _____.
________ ___ ___ ________ ______ __________ _______ ________ ___ ____ ____.
______ ________ _____ ________ ______ ___ ________ _____ ___ __________ ____.
_________ _____ ________ ________ _______ ________ ______ __________.
_________ ______ __________ ____ ___ ________ _______ _______ _____ _________.
____ __________ __________ ___ ________ _______ __________ ______ _______ ____ ____.
____ _____ ________ ______ ___ ____ ______ ________ _______ _________ ______ ____.
_____ ______ ________ ______ ___ _______.
______ ______ _____ ________ ___ _______ __________ ____.
_______ _____ _______ ______ ________ ________ _________.
________ _____ _______ ________ ________ ____ ______.
________ _______ ___.
Get Full Answer on WhatsApp