Respuesta :
Solutions
First Lets solve for this equation [tex]6x + 3y = -6 [/tex]
[tex]6x + 3y = -6 [/tex]
[tex]6x+3(-2-2x)=-6 [/tex]
[tex]-6=-6[/tex]
Therefore this given equation is a dependent system.
Solve for [tex]2x + y = -2[/tex]
[tex]2x+y=-2[/tex]
[tex]y=-2-2x [/tex]
There are too many solutions to these equations.
First Lets solve for this equation [tex]6x + 3y = -6 [/tex]
[tex]6x + 3y = -6 [/tex]
[tex]6x+3(-2-2x)=-6 [/tex]
[tex]-6=-6[/tex]
Therefore this given equation is a dependent system.
Solve for [tex]2x + y = -2[/tex]
[tex]2x+y=-2[/tex]
[tex]y=-2-2x [/tex]
There are too many solutions to these equations.
6x + 3y = -6
2x + y = -2
Solve both equations for the same variable, in this case, I'll solve for y.
2x + y = -2 Subtract 2x from both sides
y = -2x -2
6x + 3y = -6 Subtract 6x from both sides
3y = -6x -6 Divide both sides by 3
y = -2x -2
Once you have them solved you can set them equal to each other and solve.
-2x -2 = -2x -2
But, these two equations are the same, so any number you put in for x will work. The answer to the system is infinite solutions.
2x + y = -2
Solve both equations for the same variable, in this case, I'll solve for y.
2x + y = -2 Subtract 2x from both sides
y = -2x -2
6x + 3y = -6 Subtract 6x from both sides
3y = -6x -6 Divide both sides by 3
y = -2x -2
Once you have them solved you can set them equal to each other and solve.
-2x -2 = -2x -2
But, these two equations are the same, so any number you put in for x will work. The answer to the system is infinite solutions.