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=

Algebra ->  Equations -> 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=       Log On


   



Question 1072493: 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

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) About Me  (Show Source):
You can put this solution on YOUR website!
Problem: 6x-7= 11
My Answer:
7+11= 18
6x= 18/3
6*3 = 18-7 = 11
-----------------
You want to solve for x.
The answer should be "x = ... something"
---
6x-7= 11
Add 7
6x = 18
Divide by 6
x = 3
====================
Problem: 9y-3(y+4)=18
My Answer:
------------
9y-3(y+4)=18
9y - 3y - 12 = 18
6y - 12 = 18
6y = 30
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
---------------------
9-3w=2+4w
Add 3w
9 = 2+7w
Subtract 2
7 = 7w
w = 1
================================
Problem: 3.5x-1 = -1/2(-7x+2)
Multiply by 2 to eliminate fractions
7x-2 = -(-7x+2)
7x-2 = 7x-2
x = x
Any value will work, there's no unique solution.
---
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 ---------- Not 22*5, it's 225
225/15 = a
a = 15
----------------------
Or do it like this:
a/5 = 45/15
a/5 = 3
a = 15
------