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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.

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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.

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