I don't understand how to do the next part would someone please help me?
Solve the equation below

Question

I don't understand how to do the next part would someone please help me?
Solve the equation below

scarlettfarra2000 · Answer

$$z-\frac{ 3 }{ 2 }=-\frac{ 5 }{ 6 }$$

scarlettfarra2000 · Answer

To solve the equation, isolate the variable. Add 3/2 to both sides of the equation $$z-\frac{ 3 }{ 2 }+\frac{ 3 }{ 2}=-\frac{ 5 }{ 6 }+\frac{ 3 }{ 2 }$$

scarlettfarra2000 · Answer

Add the fractions on the right side
$$z=-\frac{ 5 }{ 6 }+\frac{ 3 }{ 2 }$$

aveline · Answer

You need to change the denominator of 3/2.
Multiply the top and bottom by 3

mathmale · Answer

I agree.  The reason for this is that you must express all fractions with the same denominator before you can combine them.$$z=-\frac{ 5 }{ 6 }+\frac{ 3 }{ 2 }$$

mathmale · Answer

Taking the 2nd fraction, mult. its numerator and its denom. both by 3, as aveline has suggested:$$\frac{ 3 }{ 2 }*\frac{ 3 }{ 3 }$$

mathmale · Answer

Please share your result here.

mathmale · Answer

Scarlett, I don't mean to egg you on, but to continue helping you, I need to hear back from you once in a while.

scarlettfarra2000 · Answer

$$\frac{ 9 }{ 6 }$$ would be the answer right? And sorry @mathmale  I step away also thanks you @Aveline for your help too

aveline · Answer

z=-5/6+3/2
We change 3/2 to 9/6, so...
$$z=\frac{ -5 }{ 6 }+\frac{ 9 }{ 6 }$$

scarlettfarra2000 · Answer

By adding the together we get $$\frac{ 14 }{ 6}$$ would that be the answer? Or am I doing something wrong?

mathmale · Answer

But isn't -5+9 a small, positive number?

aveline · Answer

Just as mathmale said. Another way to write -5+9 is 9-5

scarlettfarra2000 · Answer

Which would be 4

mathmale · Answer

Yes, and so what is your final value for x?   Write the equation x=  ... ?

scarlettfarra2000 · Answer

it would stay 6 wouldn't it?

mathmale · Answer

z comes out to 4/6.  Is there any way in which you could reduce this fraction?

scarlettfarra2000 · Answer

$$\frac{ 4 }{ 6 }\div2 =\frac{ 2 }{ 3 }$$

mathmale · Answer

While your answer is 100% correct, the method used isn't.  Have to divide BOTH the 4 and the 6 by 2:$$\frac{ 4/2 }{ 6/2 }$$

aveline · Answer

Remember, you're dividing by 2/2, not just 2.
However, your answer is correct.
Good job

scarlettfarra2000 · Answer

okay i see now I didn't step the problem up right would I divided by 2

mathmale · Answer

Glad this conversation has led to better understanding for you.  Take care, Scarlett!

scarlettfarra2000 · Answer

Thanks @mathmale

mathmale · Answer

You're welcome!

scarlettfarra2000 · Answer

Thanks again @Aveline

aveline · Answer

Np