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Section 7.1 : Linear Systems with Two Variables

For problems 1 – 3 use the Method of Substitution to find the solution to the given system or to determine if the system is inconsistent or dependent.

1. \(\begin{align*}x - 7y & = - 11\\ 5x + 2y & = - 18\end{align*}\) Solution
2. \(\begin{align*}7x - 8y & = - 12\\ - 4x + 2y & = 3\end{align*}\) Solution
3. \(\begin{align*}3x + 9y & = - 6\\ - 4x - 12y & = 8\end{align*}\) Solution

For problems 4 – 6 use the Method of Elimination to find the solution to the given system or to determine if the system is inconsistent or dependent.

1. \(\begin{align*}6x - 5y & = 8\\ - 12x + 2y & = 0\end{align*}\) Solution
2. \(\begin{align*} - 2x + 10y & = 2\\ 5x - 25y & = 3\end{align*}\) Solution
3. \(\begin{align*}2x + 3y & = 20\\ 7x + 2y & = 53\end{align*}\) Solution