anonymous
  • anonymous
Match each equation in the left column with its solution in the right column. Term: 1. 8(x + 5) = 48 2. 5(2x – 3) = 5 3. 4(x – 8) = 4 4. 3(3x + 1) = 30 Definition: A) x = 1 B) x = 3 C) x = 2 D) x = 9 ~Please help and explain if you can. I just can't seem to wrap my head around how to do it.~
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
Just solve each equation and then match
anonymous
  • anonymous
That's my problem. I can never get the equation right. I always mess up somewhere in the process.
anonymous
  • anonymous
Or substitute each answer instead of x for example: 8(1+5)=48 8+40=48 So x=1 and so on

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anonymous
  • anonymous
Okay.. So how does (1+5) become 40? That's the part I don't understand.
anonymous
  • anonymous
Since you have bracket like this: 8(1+5) You multiply the 8 with the numbers in the bracket 8*1=8 and 8*5=40 So since you have the numbers 8 and 40 which are both positive you will get+8+40 which is equal to +48
anonymous
  • anonymous
Consider this rule so it can help you: \[a(b+c)=ab+ac\]
anonymous
  • anonymous
You just the multiply the outside number with the numbers in the bracket Till here did you understand?
anonymous
  • anonymous
Oh. Okay that makes since. Can you help me with second one? Just so I can make sure I've got it?
anonymous
  • anonymous
OK
anonymous
  • anonymous
We will try solving x
anonymous
  • anonymous
The equation is: 5(2x – 3) = 5
anonymous
  • anonymous
Ok so try to get rid of the brackets as I showed you before.
anonymous
  • anonymous
Ok. Don't I have to move the X first though?
anonymous
  • anonymous
No Just multiply the outside number with the numbers and variables in the bracket Consider also this rule:\[a(bx+c)=abx+ac\]
anonymous
  • anonymous
No way that I try to do It is right :/
anonymous
  • anonymous
OK, Calm down I will help you
anonymous
  • anonymous
OK 5*2x=?
anonymous
  • anonymous
And 5 multiply with -3 is equal to -15
anonymous
  • anonymous
So you have 10x-15=5 Now try solving it
anonymous
  • anonymous
OH! So you multiply 5 by 2, x, and negative 3?
anonymous
  • anonymous
yes
anonymous
  • anonymous
x=2?
anonymous
  • anonymous
yes
anonymous
  • anonymous
Thank you!
anonymous
  • anonymous
And just to make sure. 4(x – 8) = 4 is D and 3(3x + 1) = 30 is B? Correct?
anonymous
  • anonymous
If you have solved any equation, you should replace your answer with the variable and perform the calculations to get it. For example replace the 2 you have got with x and try calculating it and if you get 5 which is the answer:5(2(2)-3)=5 then that means that you have solved the equation correctly. Your welcome

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