## InsanityxP 2 years ago 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.~

1. Faris_Waleed

Just solve each equation and then match

2. InsanityxP

That's my problem. I can never get the equation right. I always mess up somewhere in the process.

3. Faris_Waleed

Or substitute each answer instead of x for example: 8(1+5)=48 8+40=48 So x=1 and so on

4. InsanityxP

Okay.. So how does (1+5) become 40? That's the part I don't understand.

5. Faris_Waleed

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

6. Faris_Waleed

7. Faris_Waleed

You just the multiply the outside number with the numbers in the bracket Till here did you understand?

8. InsanityxP

Oh. Okay that makes since. Can you help me with second one? Just so I can make sure I've got it?

9. Faris_Waleed

OK

10. Faris_Waleed

We will try solving x

11. Faris_Waleed

The equation is: 5(2x – 3) = 5

12. Faris_Waleed

Ok so try to get rid of the brackets as I showed you before.

13. InsanityxP

Ok. Don't I have to move the X first though?

14. Faris_Waleed

No Just multiply the outside number with the numbers and variables in the bracket Consider also this rule:\[a(bx+c)=abx+ac\]

15. InsanityxP

No way that I try to do It is right :/

16. Faris_Waleed

17. Faris_Waleed

OK 5*2x=?

18. Faris_Waleed

And 5 multiply with -3 is equal to -15

19. Faris_Waleed

So you have 10x-15=5 Now try solving it

20. InsanityxP

OH! So you multiply 5 by 2, x, and negative 3?

21. Faris_Waleed

yes

22. InsanityxP

x=2?

23. Faris_Waleed

yes

24. InsanityxP

Thank you!

25. InsanityxP

And just to make sure. 4(x – 8) = 4 is D and 3(3x + 1) = 30 is B? Correct?

26. Faris_Waleed

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