Question

How do you identify if the system 3x−2y=4 and 9x−6y=1 is consistent or inconsistent?

Answer 1

Hi baby

Your system is inconsistent:

You can immediately guess that considering that the coefficients of

x

and

y

of your two equations are multiples. The coefficients of the second are the coefficients of the first multiplied by

3

.

This tells you that your equations represent 2 parallel lines (they have the same slope but different

y

intercepts).

You can also check by isolating

y

from the first:

y

=

3

2

x

−

2

and substituting in the second:

9

x

−

6

(

3

2

x

−

2

)

=

1

which gives you:

12

=

1

which is false.

Your equations do not share a common solution!

Graphically:

Brainiest answer please.