How many solutions does the equation −2y + 2y + 3 = 3 have? (1 point)
One
Zero
Infinitely many
Three
i am not sure since there isnt a variable. Reiny can you please help. I am thinking the answer is either One or Infinity Many
Infinity many
:)
Thanks
The equation -2y + 2y + 3 = 3 simplifies to 3 = 3, which means that both sides of the equation are equal and the equation is always true.
Since the equation is always true, it means that every value of y will satisfy the equation. Therefore, the equation has infinitely many solutions.
So, the correct answer is "Infinitely many."
To find the number of solutions for the equation −2y + 2y + 3 = 3, we can simplify the equation first.
Combining like terms, we have:
(−2y + 2y) + 3 = 3
Since the terms −2y and 2y cancel each other out, we are left with:
3 = 3
Now, let's analyze the simplified equation. We can see that both sides of the equation are equal to 3. This means that the equation holds true for any value of y. In other words, no matter what value of y we substitute into the equation, it will always satisfy the equation.
Therefore, the equation −2y + 2y + 3 = 3 has infinitely many solutions.