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3 years ago

How many solutions does -2z+2+4z=16/5+2z-6/5

Mathematics

1 answer:

kipiarov [429]3 years ago

6 0

Answer:

Infinite. Please Mark Brainliest, this took a lot of effort.

Step-by-step explanation:

After going through the process of solving, you get 0=0, meaning true for all z

-2z+2+4z=16/5+2z-6/5

Group Like Terms

-2z+4z+2=16/5+2z-6/5

Add similar terms

2z+2=16/5+2z-6/5

Group Like Terms

2z+2=2z-6/5+16/5

<em>Combine the Fractions</em>

Apply the rule a/c plus or minus b over c equals a plus or minus b over c

=(-6+16)/5

Add/Subtract the numbers

=10/5

Divide the numbers

2z+2=2z+2

Subtract 2 from each side

2z+2-2=2z+2-2

Simplify

2z=2z

Subtract 2z from each side

2z-2z=2z-2z

Simplify

0=0

Both sides are equal, true for all z

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