Question

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

One
None
Infinitely many
Three

Answer 1

The given equation is $-2y+2y+3=3$

By solving the given equation, we get

$0\times y=0$

$0=0$

While solving the equation,we get 0=0.

Therefore, the given equation is true for all the values of y.

Hence, we can say that the given equation has infinite number of solutions.

Answer 2

Answer:

Solution: Infinitely many

C is correct

Step-by-step explanation:

Given: $-2y+2y+3=3$

It is a linear equation of single variable. To simplify the linear equation using  

(Addition property of equality / Subtraction property of equality)

Combine like term and simplify left side

So, -2y and 2y cancel out and we get

$3=3$

Here both sides same value and this is true statement.

Therefore, The number of solution will be infinite.

Hence, Infinitely many solution