is that following pair of linear equation consistent ? justify your answer : 2ax-by=c and 4ax+2by-2y=0

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Solution

Dear Student,

$G i v e n p a i r o f l i n e a r e q u a t i o n s : 2 a x - b y = c a n d 4 a x + 2 b y - 2 y = 0 \Rightarrow 2 a x - b y - c = 0 a n d 4 a x + (2 b - 2) y = 0 T h e g i v e n p a i r o f l i n e a r e q u a t i o n s w i l l b e c o n s i s t e n t i f f \frac{2 a}{4 a} \neq \frac{- b}{2 b - 2} \Rightarrow \frac{1}{2} \neq \frac{- b}{2 b - 2} \Rightarrow 2 b - 2 \neq - 2 b \Rightarrow 4 b \neq 2 \Rightarrow b \neq 2$

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Similar questions

Question 3 (iii)
Are the following pair of linear equations consistent? Justify your answer
2a + by = a and 4a + 2by -2a = 0; a, b $\neq$ 0

2 a x + b y = a

4 a x + 2 b y - 2 a = 0; a, b \neq 0

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