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WARRIOR [948]
2 years ago
10

How many solutions does the system have?

Mathematics
1 answer:
kykrilka [37]2 years ago
6 0

Answer: a

Infinitely many

Step-by-step explanation:

Solve by substitution:

1) Solve y=2x+1 for y:

y=2x+1

2) Substitute 2x+1 for y in -4x+2y=2:

-4x+2y=2

-4x+2(2x-1)=2

3) Simplify both sides of the equation:

2=2

4) Add -2 to both sides of the equation:

2+-2=2+-2

5) Simplify both sides of the equation:

0=0

Therefore, there are infinitely many solutions.

Solve by elimination:

You cannot solve this system by elimination

Solve by graphing:

The 2 equations are on top of each other, therefore, the system of equations has infinitely many solutions.

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