Find all the solutions of the given system of equations. 3x-4y=2 9x-12y=6

I will try to solve your system of equations.

3

x

-

4

y

=

2

;

9

x

-

12

y

=

6

Step: Solve

3

x

-

4

y

=

2

for x:

3

x

-

4

y

+

4

y

=

2

+

4

y

(Add 4y to both sides)

3

x

=

4

y

+

2

3

x

3

=

4

y

+

2

3

(Divide both sides by 3)

x

=

4

3

y

+

2

3

Step: Substitute

4

3

y

+

2

3

for

x

in

9

x

-

12

y

=

6

:

9

x

-

12

y

=

6

9

(

4

3

y

+

2

3

)

-

12

y

=

6

6

=

6

(Simplify both sides of the equation)

6

+

-

6

=

6

+

-

6

(Add - 6 to both sides)

0

=

0

Answer:

Infinitely many solutions.