i need quick help with this math equasion
analize me this math equazion
what is y-1-2y=y+1-3y
In this equation, your eventual goal is to isolate y. Let's see how to do this:
\(y-1-2y=y+1-3y\) | Simplify both sides of the equation by combining like terms. In this case, the linear terms can be combined to simplify things |
\(-y-1=-2y+1\) | Add y to both sides of the equation. Doing this will have a y that will cancel on the left hand side. |
\(-1=-y+1\) | Subtract 1 from both sides |
\(-2=-y\) | Divide by -1 to get rid of the negative sign on the y. |
\(2=y\) | |
If you are ever pondering about whether or not this answer is correct, plug the answer you got into your equation and see if the statement is true. :
\(y-1-2y=y+1-3y\) | Replace all instances of a y with a 2 |
\(2-1-2*2=2+1-3*2\) | Simplify and see if the statement is true |
\(2-1-4=2+1-6\) | |
\(1-4=3-6\) | |
\(-3=-3\) | Indeed, this is a true statement. |
Therefore, \(y=2\) is the correct and only correct solution for the given equation