# 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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