How many solutions does this equation have?

Question

10+3y-2=4y-y+8

Answer 1

10 + 3y - 2 = 4y - y + 8

 

To figure this out, let's start simplifying the equation:

8 + 3y = 3y + 8

 

The expression on the left is exactly the same as the expression on the right in the equation. So in this case, there are infinite solutions. No matter what we put in for y, the two expressions will always equal out.

Answer 2

First, combine like terms on each side of equation.

 

3y + 8 = 3y + 8

 

Notice that the left side of the equation matches the right side of the equation.  Therefore, there is an infinite amount of solutions because if you plug in any number for y, the left side and right side of equation will always be equal to each other.