Answer: a
no solution
Step-by-step explanation:
Solve by substitution:
1) Solve [tex]x=2y+4[/tex] for x:
[tex]x=2y+4[/tex]
2) Substitute [tex]2y+4[/tex] for [tex]x[/tex] in [tex]2y=x-6[/tex]:
[tex]2y=x-6[/tex]
[tex]2y=2y+4-6[/tex]
3) Simplify both sides of the equation:
[tex]2y=2y-2[/tex]
4) Add [tex]-2y[/tex] to both sides of the equation:
[tex]2y+-2y=2y-2+-2y[/tex]
5) Simplify both sides of the equation:
[tex]0=-2[/tex]
Therefore, there are no solutions to the system of equations.
Solve by elimination:
You can't solve this system of equations by elimination
Solve by graphing:
The equations are parallel to each other, therefore they never cross, so, there are no solutions.