Question

Using graph find whether the pair of linear equation 3x-5y= 20,6x-10y+40=0 is consistent or inconsistent

Answer 1

Step-by-step explanation:

$3x - 5y - 20 = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (1)$

$6x - 10y + 40 = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (2)$

Here, a1 = 3, b1 = -5, c1 = -20

a2 = 6, b2 = -10, c2 = 40

$\frac{ \not3}{ \not6 \: ^{2} } = \frac{ \not - \not5}{ \not- \not10 \: ^{2} } = \frac{ \not - \not20}{ \not40 ^{ - 2} }$

$\frac{1}{2} = \frac{1}{2} \neq \frac{1}{ - 2}$

From above we can see that

$\frac{a1}{a2} = \frac{b1}{b2} \neq \frac{c1}{c2}$

Hence the lines are inconsistent/parallel