SOLUTION: Could someone please check these, I am not sure if I understood them correctly. I should solve the equation and check my solution (and of course show my work). Problem: 6x-7=

Question 1068965: Could someone please check these, I am not sure if I understood them correctly.
I should solve the equation and check my solution (and of course show my work).
Problem: 6x-7= 11
My Answer:
7+11= 18
6x= 18/3
6*3 = 18-7 = 11

Problem: 9y-3(y+4)=18
My Answer:
y = 5
9*5 - 3(5+4)=
45 - 3*9 = 45-27 =18

Problem: 9-3w=2+4w
My Answer:
w=1
9-3*1=2+4=1

Problem: 3.5x-1 = -1/2(-7x+2)
I don't know how to do this problem, could someone please help me with it?

Problem: a/5 = 45/15
My Answer:
45*5 = 15*a
45*5/15 = 15*a/15
22*5/15 = a

Problem: 4/d = 2/6
My Answer:
2/4 = 2
2 * 2/6 = 12
d = 12

Problem: r-3/10 = r/13
I tried doing this one but didn't really understand how it works, maybe someone could explain it to me?

I would be very grateful if someone could look over this for me, since I am not sure if I actually understood and did each problem correctly. Thank you!

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Problem: 6x-7= 11
---------
1st, that's not a problem, it's an equation.
"Solve for x" is the problem.
---
You want get "x = " whatever x equals.
============
My Answer:
7+11= 18 this is true, but ...
6x= 18/3 this is not true.
6*3 = 18-7 = 11 this is not true either.
-----
6x-7 = 11
Add 7 to each side
6x-7 + 7 = 11 + 7
6x = 18
Divide by 6
x = 3
======================================
Problem: 9y-3(y+4)=18
My Answer:
y = 5 ******* Why is y=5?
9*5 - 3(5+4)=
45 - 3*9 = 45-27 =18
-----
9y - 3(y+4) = 18
Solve for y
9y - 3y-12 = 18
6y - 12 = 18
Add 12
6y = 30
Divide by 6
y = 5
========================

Problem: 9-3w=2+4w
My Answer:
w=1 *****???????
9-3*1=2+4=1
---
Look at the 1st 2 above, try again.
Email via the TY note for help or to check your work.
=============================
Problem: 3.5x-1 = -1/2(-7x+2)
I don't know how to do this problem, could someone please help me with it?
3.5x-1 = -1/2(-7x+2)
Step 1, multiply by 2 to eliminate the fractions.
7x-2 = -(-7x+2)
==================================
Problem: a/5 = 45/15
Multiply by 5
================================
My Answer:
45*5 = 15*a
45*5/15 = 15*a/15
22*5/15 = a

Problem: 4/d = 2/6
My Answer:
2/4 = 2 2/4 does not = 2
2 * 2/6 = 12 Not true
d = 12

Problem: r-3/10 = r/13
I tried doing this one but didn't really understand how it works, maybe someone could explain it to me?

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