Answered

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How many solutions does the system have?
a
infinitely many
b
exactly two
c
none
d
exactly one

How Many Solutions Does The System Have A Infinitely Many B Exactly Two C None D Exactly One class=

Sagot :

2185030

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.

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