+0

# 8x−3=5+4y

0
142
6
+17

8x−3=5+4y solve and show steps

NeuSeR222  Aug 31, 2017

#4
+76094
+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

CPhill  Aug 31, 2017
Sort:

#1
+194
0

What are you solving for?

#2
+17
0

Solve the literal equation for y.

NeuSeR222  Aug 31, 2017
#3
+194
+1

8x−3=5+4y

Solve for y:

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

edited by AdamTaurus  Aug 31, 2017
#5
+1088
+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
+76094
+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

CPhill  Aug 31, 2017
#6
+76094
+2

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

CPhill  Aug 31, 2017

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