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Solve using augmented matrices. $\newline$ $4x + y = 5$ $\newline$ $y = -3$ $\newline$ (_, _)

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Factor sums and differences of cubes

Full solution

Q. Solve using augmented matrices.

\newline

4x + y = 5

\newline

y = -3

\newline

(_____, _____)

Write Augmented Matrix: Write the system of equations as an augmented matrix. $\left[\begin{array}{cc|c} 4 & 1 & 5 \ 0 & 1 & -3 \end{array}\right]$
Eliminate y-term: Use the second row to eliminate the y-term from the first row. $\newline$ First row becomes $(4, 1, 5) - 1\times(0, 1, -3) = (4, 0, 8)$

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