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8x−3=5+4y solve and show steps

NeuSeR222  Aug 31, 2017

Best Answer 

 #4
avatar+90023 
+1

8x−3=5+4y      subtract 5 from both sides

 

8x  - 8  =  4y    divide through by 4

 

2x - 2  =  y

 

This is an equation of a line

 

 

cool cool cool

CPhill  Aug 31, 2017
 #1
avatar+771 
0

What are you solving for?

AdamTaurus  Aug 31, 2017
 #2
avatar+17 
0

Solve the literal equation for y.

NeuSeR222  Aug 31, 2017
 #3
avatar+771 
+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
edited by AdamTaurus  Aug 31, 2017
 #5
avatar+2248 
+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
 #4
avatar+90023 
+1
Best Answer

8x−3=5+4y      subtract 5 from both sides

 

8x  - 8  =  4y    divide through by 4

 

2x - 2  =  y

 

This is an equation of a line

 

 

cool cool cool

CPhill  Aug 31, 2017
 #6
avatar+90023 
+2

 

There is nothing here to "solve" in the "normal" sense....we are just isolating the variable, y

 

 

cool cool cool

CPhill  Aug 31, 2017

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