3X+2Y=5,2X-3Y=7 Solve Them Graphically

Given: 3x + 2y = 5 and 2x – 3y = 7

Here,

\(a_{1}=3, b_{1}=2, c_{1}=5\) \(a_{2}=2, b_{2}=-3, c_{2}=7\) \(\therefore\) \(\frac{a_{1}}{a_{2}} = \frac{3}{2} \) \(\frac{b_{1}}{b_{2}} = \frac{2}{-3}\) \(\frac{c_{1}}{c_{2}} = \frac{5}{7}\) \(\therefore \frac{a_{1}}{a_{2}} \neq \frac{b_{1}}{b_{2}} \)

Therefore, the linear equation is consistent

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