Question

Is the pair of linear equation 3x+6y-9=0 and x+2y-3=0 consistent? Justify.

Answer 1

Answer:

the equations are consistent.

Step-by-step explanation:

yes,

3x+6y=9

x+2y=3

a1/a2=3/1=3

b1/b2=6/2=3/1=3

c1/c2=9/3=3/1=3

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Answer 2

Answer:

Yes

Step-by-step explanation:

Condition for a pair of equations to be consistent:

a) a1/a2= b1/b2= c1/c2

b) a1/ a2 not equal to b1/b2. where a,b,c are the coefficient of variables.

Depending upon the question, we need to choose whether the condition to be used is a) or b)

According to this question, we use condition a):

Therefore, 3/1 = 6/2= -9/-3 ( since there is negative sign up and down, it gets cancelled)

here, 3/1 = 3/1 = 3/1

Hence, the pair of linear equations is consistent.