What two equations can you write from |y+3|+5=2y?
I know one is y+3=2y-5, which becomes 8. Is there another equation possible?
(y+3)+5 = 2y
y = +8
and
-(y+3) + 5 = 2 y
-y -3 + 5 = 2 y
y = -8
Do it like I showed you in the other post, which has the same kind of equation
|y+3|+5=2y
|y+3| = 2y - 5
then y+3 = 2y-5 OR -(y+3) = 2y - 5
solve equation, sub back in the original to verfy
-(y+3) = 2y - 5
-y-3 = 2y-5
-3y = -2
y = 2/3
Is this how to solve the equation?
To find the second equation from the given equation |y+3| + 5 = 2y, you need to consider the two possible cases for the absolute value.
Case 1: y + 3 is positive.
In this case, the absolute value |y + 3| simplifies to y + 3. So, the equation becomes y + 3 + 5 = 2y.
To solve this equation, you can simplify it further by combining like terms:
y + 8 = 2y
Case 2: y + 3 is negative.
In this case, the absolute value |y + 3| simplifies to -(y + 3), which means the expression inside the absolute value becomes the opposite. The equation becomes -(y + 3) + 5 = 2y.
To solve this equation, you can simplify it further by distributing the negative sign:
-1 * y - 1 * 3 + 5 = 2y
-y - 3 + 5 = 2y
-y + 2 = 2y
Now, you have two separate equations:
For Case 1: y + 8 = 2y
For Case 2: -y + 2 = 2y
Solving each equation will give you the possible solutions to the original equation |y + 3| + 5 = 2y.