Group the terms with variables on one side of the equal sign, and simplify.
39y = 4y + 11

Question

Group the terms with variables on one side of the equal sign, and simplify.
39y = 4y + 11

anonymous · Answer

$39y = 4y +11$

$39y - 4y = 11$

$35y =11$

$y = \frac{11}{35}$

anonymous · Answer

Group the terms with variables on one side of the equal sign, and simplify.
5z + 3 = 36z

		
	3 = 41z
	8z = 36
	3 = 31z
	−3 = 31z

anonymous · Answer

Close! But you added $5z$ to both sides at the first step instead of subtracting it.
So it's:

$5z+3 = 36z$
$3 = 36z - 5z$
$3 = 31z$

Can you take it from there?

anonymous · Answer

What is the value of $z$ then?

anonymous · Answer

can you show me step by step how to

anonymous · Answer

Sure.

anonymous · Answer

thank you

anonymous · Answer

The first step to solve for the variable (in our case, $z$) is to get the similar $z$ terms on one side of the equation:

So take $5z + 3 = 36z$ and we want to have all the terms with "$z$" on one side, so lets subtract "$5z$" from both sides.

$5z + 3 - 5z = 36z - 5z$ which reduces to $3 = 31z$. Do you understand?

Also if we wanted to solve for $z$ we want to divide both sides by $31$. This is because we don't want the value of "$31z$", we want the value of "$z$"!

So $z = \frac{3}{31}$.