Question

How many solutions does the equation −2y + 2y + 3 = 3 have?

One
Zero
Infinitely many
Three

Answer 1

@callender535

Answer 2

@callielovesyhuu

Answer 3

What do you think?
First you look at your equation:
-2y + 2y + 3 = 3 and you can re-write it as :

2y - 2y + 3 = 3
Simplify by collecting like terms (note 2y - 2y = 0)
0 + 3 = 3
3 = 3

Which is true... this means that infinitely, no matter what the value of y is, there will always be a solution :)

Answer 4

For example, if we say y = 5 and we plug it into the equation:
-2(5) + 2(5) + 3 = 3
-10 + 10 + 3 = 3
3 = 3
So y = 5 is a solution

Pick another random number.. say y = 100, plug it into the equation and we get:
-2 (100) + 2(100) + 3 = 3
-200 + 200 + 3 = 3
3=3
Therefore y = 100 is a solution

So can you see that there are infinite values of y?

Answer 5

Let's solve your equation step-by-step.
−2y+2y+3=3
Step 1: Simplify both sides of the equation.
−2y+2y+3=3
Simplify: (Show steps)
3=3
Step 2: Subtract 3 from both sides.
3−3=3−3
0=0
Answer:
All real numbers are solutions.

what do you think

Answer 6

excellent :)