Solve using the method of elimination:

MATHEMATICS · Multi-part · AoPS · Mathematics · Multi-Variable Linear Equations · Multi-Variable Linear Equations

Problem

Solve using the method of elimination: (a) {3x+y=167x−2y=7\begin{cases} 3x + y = 16 \\ 7x - 2y = 7 \end{cases} (b) {4x+3y=−14−x+5y=15\begin{cases} 4x + 3y = -14 \\ -x + 5y = 15 \end{cases} (c) {5x−2y=72x−y−4=0\begin{cases} 5x - 2y = 7 \\ 2x - y - 4 = 0 \end{cases} (d) {3x−7y=−27−6x+5y=18\begin{cases} 3x - 7y = -27 \\ -6x + 5y = 18 \end{cases} (e) {9x+2y=−24−7x+4y=27\begin{cases} 9x + 2y = -24 \\ -7x + 4y = 27 \end{cases} (f) {3x−7y=−89x+11y=16\begin{cases} 3x - 7y = -8 \\ 9x + 11y = 16 \end{cases}

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