Try to solve the following simultaneous equations graphically

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

Problem

Try to solve the following simultaneous equations graphically. State the number of solutions in each case. (a) {y=−2x+5y=−2x−1\begin{cases} y = -2x + 5 \\ y = -2x - 1 \end{cases} (b) {x−14y=−2y=4x+8\begin{cases} x - \frac{1}{4}y = -2 \\ y = 4x + 8 \end{cases} (c) {3x+4y=−243x+4y=−12\begin{cases} 3x + 4y = -24 \\ 3x + 4y = -12 \end{cases}

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