# Systems of Equations

These are questions that I got wrong on a test..can someone show me how to do these?

________

Solve the equation by graphing.

2x-3y=12

3y-2x=-12

is this equation independent inconsistent or dependent?

__________________________________________

Solve the equation by graphing.

3x-y=4

3x-y=0

is this equation independent inconsistent or dependent?

___________________________________________

Solve using the substitution method.

3y=x+5

3x-9=-10

is this equation independent inconsistent or dependent?

_________________________________________________

Solve using the substitution method.

x=1/8y-1

y=1/4x+39

is this equation independent inconsistent or dependent?

_________________________________________________________

Solve by the addition method

x+3(y-1)=11

2(x-y)+8y=28

is this equation independent inconsistent or dependent?

_________________________________________________________

Solve by the addition method

1/3x-1/6y=1/3

1/6x+1/4y=0

is this equation independent inconsistent or dependent?

_________________________________________________________

Solve the compound equality. state the solution set using interval notation to graph it.

#### Solution Preview

These are questions that I got wrong on a test..can someone show me how to do these?

________

Solve the equation by graphing.

2x-3y=12

3y-2x=-12

Graph is attached.

The lines are the same, so there are infinite solutions, and this is dependent.

is this equation independent inconsistent or dependent?

__________________________________________

Solve the equation by graphing.

3x-y=4

3x-y=0

Graph is attached.

The lines are parallel and never meet, so there are no solutions. This is "inconsistent".

is this equation independent inconsistent or dependent?

___________________________________________

Solve using the substitution method.

3y=x+5

3x-9=-10

(I'm guessing ...

#### Solution Summary

Various step-by-step examples of solving systems of linear equations.