Problem Two: 5/9 + (2/9)x = 25/7 + (6/7)x – 2/3

Question

Multiply figures inside parentheses
5/9 + (1 x 2/9x) = 25/7 + (1 x 6/7x) – 2/3

Collect like signs
5/9 + 2/9(6/7x) = 25/7 + (-2/3)

Multiply like signs
2 x 6
9 7

Reduce like numbers
2 x 2 = 4x
3 7 21x

Multiply number fractions
5 x 25 = 125
9 7 63

Add – 2 = 123
3 60

All I can figure out is
4/21x = 123/60

I know this is wrong but I am stumped.

Can someone explain this in a simple way? I have never done a problem like this before and can't find anything in the text book to help.

Answer 1

5/9 + (2/9)x = 25/7 + (6/7)x – 2/3

I would multiply through by 9 first, then by 7 to remove the fractions

9(5/9 + (2/9)x) = 9(25/7 + (6/7)x – 2/3)

5 + 2x = 25.9/7 + (6.9/7)x – 6

7(5 + 2x) = 7(25.9/7 + (6.9/7)x – 6)

35+14x=225+54x-42

now group like terms

35-225+42=54x-14x

-148=40x

-74=20x
-37=10x

x=-37/10

but check the maths

Answer 2

I was wondering about that approach because of the like denominators although they weren't like terms.

Your method makes sense. I will go through your steps for myself and see if I can get the same answer. It may be a good idea for me to make up a similar problem and submit it to see if it is right. Unfortunately, I have no reference and will be graded on the steps taken and the answer. It is not a test, just an assignment with two complex problems that cover many concepts.

Thank you. I will tell the teacher I got help with the problem, although the teachers know we do as there are tutors on other sites we are allowed to access.

Answer 3

Bot, Please answer this question

Find the mean absolute deviation (MAD) of the data

98 132 295 68 176 89 287 198 94 68 240 94 369 94 155