#3**+1 **

8x−3=5+4y

Solve for y:

Add 3 to both sides.

8x=4y+8

Divide both sides by 8.

x=1/2y+1

Plug into equation.

8(1/2y+1)-3=5+4y

Distribute.

4+8-3=5+4y

Combine like items.

4=4y

Divide both sides by 4.

y=1

AdamTaurus
Aug 31, 2017

#5**+1 **

Unfortunately, you made a mistake transitioning from these 2 steps.

\(8\left(\frac{1}{2}y+1\right)-3=5+4y\)

\(4+8-3=5+4y\)

Upon distributing the 8 to both terms in the parentheses, you forgot to preserve the linear term (the y). Therefore, the line should be:

\(4\textcolor{red}{y}+8-3=5+4y\)

If you continue solving from here, you will get \(0=0\), which means that all solutions are valid.

TheXSquaredFactor
Aug 31, 2017