Representing a Pair of Linear Equations in Two Variables Graphically
Question 3 ii...
Question
Question 3 (iii) Are the following pair of linear equations consistent? Justify your answer 2a + by = a and 4a + 2by -2a = 0; a, b ≠ 0
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Solution
2ax + by – a = 0 and 4ax + 2by – 2a = 0 here,a1=2a,b1=b,c1=−a;a2=4a,b2=2b,c2=−2anow,a1a2=2a4a=12,b1b2=12=−a−2a=12a1a2=b1b2=c1c2=12 Hence, the given pair of linear equations has infinitely many solutions, i.e., consistent or dependent