What is the solution to the system of equations - 2x-y=1 - 6x=3y+3

-

2

x

-

y

=

1

;

-

6

x

=

3

y

+

3

Step: Solve

-

2

x

-

y

=

1

for y:

-

2

x

-

y

=

1

-

2

x

-

y

+

2

x

=

1

+

2

x

(Add 2x to both sides)

-

y

=

2

x

+

1

-

y

-

1

=

2

x

+

1

-

1

(Divide both sides by - 1)

y

=

-

2

x

-

1

Step: Substitute

-

2

x

-

1

for

y

in

-

6

x

=

3

y

+

3

:

-

6

x

=

3

y

+

3

-

6

x

=

3

(

-

2

x

-

1

)

+

3

-

6

x

=

-

6

x

(Simplify both sides of the equation)

-

6

x

+

6

x

=

-

6

x

+

6

x

(Add 6x to both sides)

0

=

0

Answer:

Infinitely many solutions.