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Determine if the system of equations has one solution, no solution or infinitely many solutions.

− 3x + 4y = 4

-12x+ 16y = 8

User Ventuz
by
8.2k points

1 Answer

5 votes

Answer:

x

=

0

y

=

2

Step-by-step explanation:

simply subtract each term in the second equation from the first equation:

3

x

+

4

y

=

8

3

x

+

16

y

=

32

(

3

x

3

x

)

+

(

4

y

16

y

)

=

(

8

(

32

)

)

(

0

)

+

(

12

y

)

=

(

8

+

32

)

12

y

=

24

y

=

2

now use either original equation to solve for

x

:

3

x

+

4

y

=

8

3

x

+

4

(

2

)

=

8

3

x

8

=

8

3

x

=

0

x

=

0

User Vadim Ahmerov
by
8.6k points

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