Solve the following sets of simultaneous equations:

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

Problem

Solve the following sets of simultaneous equations: (a) {x=y−35x−2y=9\begin{cases} x = y - 3 \\ 5x - 2y = 9 \end{cases} (b) {2x−3y=−8x=3y−1\begin{cases} 2x - 3y = -8 \\ x = 3y - 1 \end{cases} (c) {x=4y+3x=9+7y\begin{cases} x = 4y + 3 \\ x = 9 + 7y \end{cases} (d) {y=5x−3x=2y+3\begin{cases} y = 5x - 3 \\ x = 2y + 3 \end{cases} (e) {3x+4y=−13x=8y−2\begin{cases} 3x + 4y = -13 \\ x = 8y - 2 \end{cases} (f) {x=−5y−27x+4y=−10\begin{cases} x = -5y - 2 \\ 7x + 4y = -10 \end{cases}

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