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October 21, 2014

October 21, 2014

Posted by **Aria** on Friday, April 29, 2011 at 6:50pm.

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

Like signs are not collected at the beginning. This would make the equation unequal.

To make both sides equal we first multiply all sides by nine and then both sides by seven

So,

9 x 5/9 cancels out the denominator so the equation is rewritten as 5/1

9 x 2/9x does the same, so the equation is rewritten as 2/1

Now we go to the right side

Following the same principle

9 x 25/7 = 225/7

9 x 6/7x = 54/7x

9 x -2/3 = -6

We repeat the formula with seven as a multiple.

7 x 5/9 = 35/9

7 x 2/9x = 14/9x

7 x 25/7 = 175/1

7 x 6/7x = 42/1x

7 x -6 = -42

Group like numbers

5 + 2 = 175 + 42 - 42

Group like fractions

225/7 + 54/7x

35/9 + 14/9x

Remove denominators from like fractions

35 + 14x = 225 + 54x 42 – 42

Group like terms

14x + 54x = 68x

Group like numbers

35 + 225 – 42 = 218

- Algebra -
**Anonymous**, Friday, April 29, 2011 at 9:03pm5/9+(2/9)x =25/7+(6/7)x–2/3

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

2/9=14/63

6/7=54/63

25/7=675/189

2/3=126/189

5/9=105/189

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

(14/63)x-(54/63)x=675/189 -126/189 -105/189

(-40/63)x=444/189 Multiply with 63

-40x=63*444/189

-40x=27972/189 Divide with -40

x=27972/(-40*189)

x= -27972/7560

27972=2*2*3*3*3*7*37

7560=2*2*2*3*3*3*5*7

x= -2*2*3*3*3*7*37/2*2*2*3*3*3*5*7

x= -37/2*5

x= -37/10

x= -3.7

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