Question

Is the following pair of linear equations consistent? Justify your answer <br />2ax + by = a,4ax + 2by − 2a = 0;a,b ≠ 0<br /><br />

Answer 1

Answer: Yes

Step-by-step explanation:

a1÷a2= 2a÷4a =2÷4 =1÷2

b1÷b2= b÷2b =1÷2

c1÷c2= a÷2a =1÷2

Since, a1÷a2=b1÷b2=c1÷c2, the equations have infinite solutions. Hence, they are consistent.

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Answer 2

Answer: Yes

Step-by-step explanation:

We know that conviction for above is

a1/a2=b1/b2=c1/c2

a1/a2= 2a/4a =2/4 =1/2

b1/b2= b/2b =1/2

c1/c2= a/2a =1/2

Hence, they are consistent.