Answer: a
Infinitely many
Step-by-step explanation:
Solve by substitution:
1) Solve [tex]y=2x+1[/tex] for [tex]y[/tex]:
[tex]y=2x+1[/tex]
2) Substitute [tex]2x+1[/tex] for [tex]y[/tex] in [tex]-4x+2y=2[/tex]:
[tex]-4x+2y=2[/tex]
[tex]-4x+2(2x-1)=2[/tex]
3) Simplify both sides of the equation:
[tex]2=2[/tex]
4) Add -2 to both sides of the equation:
[tex]2+-2=2+-2[/tex]
5) Simplify both sides of the equation:
[tex]0=0[/tex]
Therefore, there are infinitely many solutions.
Solve by elimination:
You cannot solve this system by elimination
Solve by graphing:
The [tex]2[/tex] equations are on top of each other, therefore, the system of equations has infinitely many solutions.
