Question

check whether the equations 3x-3y=5 and 4x-6y=15 are consistent.also verify by graphical representation
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Answer 1

Given :

3x - 3y = 5

3x - 3y = 54x - 6y = 15

Solution :

Let's compare the given equation with it's general form

i.e. ,

$a_{1} x + b _{1}y + c _{1} = 0 \\ \\ a_{2}x + b _{2}y + c _{2} = 0$

we get,

$a _{1} = 3 \\ b_{1}= - 3 \\ c _{1} = - 5 \\ \\ a _{2} = 4 \\ b _{2} = - 6 \\ c _{2} = - 15$

Therefore ,,,

$\frac{a _{1} }{a _{2} } = \frac{3}{4} \\ \\ \frac{b_{1}}{b_{2} } = \frac{ - 3}{ - 6} = \frac{1}{2}$

$\frac{a _{1} }{a_{2}} </em></strong><strong><em>≠</em></strong><strong><em> \frac{b _{1} }{b _{2}}$

Therefore ,,, the given equations are consistent ....

Hope it's helpful .....

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