Word Count : 560

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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): ________ _____ _________ _________ __________ _______ ________.
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