SOLUTION: what could be the answers of the ff. problems??its kinda confusing..tnx.. 1. 1/4+x=1/2-1/3 2. 1-1/2+m=3/4+1/2 3. 3x+5=5x+17 4. 9y-2=-10=y 5. 5(y-1)=3y+7 tnx so much

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: what could be the answers of the ff. problems??its kinda confusing..tnx.. 1. 1/4+x=1/2-1/3 2. 1-1/2+m=3/4+1/2 3. 3x+5=5x+17 4. 9y-2=-10=y 5. 5(y-1)=3y+7 tnx so much      Log On


   

Question 676536: what could be the answers of the ff. problems??its kinda confusing..tnx..
1. 1/4+x=1/2-1/3
2. 1-1/2+m=3/4+1/2
3. 3x+5=5x+17
4. 9y-2=-10=y
5. 5(y-1)=3y+7
tnx so much
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
1.%281%2F4%29+%2B+x+=+%281%2F2%29+-+%281%2F3%29
Multiply the entire equation by 12 (LCM of 2,3 and 4)
12%281%2F4%29+%2B+12%28x%29+=+12%281%2F2%29+-+12%281%2F3%29
3 + 12x = 6 - 4
Isolate the x variable
12x = 2 - 3
12x = -1
Divide both sides by 12
x = -1%2F12
...
2. 1+-+1%2F2+%2B+m+=+3%2F4+%2B+1%2F2
Multiply the entire equation by 4 (LCM of 2 and 4)
4%281%29+-+4%281%2F2%29+%2B+4m+=+4%283%2F4%29+%2B+4%281%2F2%29
4 - 2 + 4m = 3 + 2
Isolate the m variable
4m = 5 - 4 + 2
4m = 3
m = 3%2F4
...
3. 3x + 5 = 5x + 17
Group the x variables on the left alone
3x - 5x = 17 - 5
combine the like terms
-2x = 12
divide both sides by -2
x = -6
...
4. 9y-2= -10 + y
Group the y variables on the left side alone
9y - y = -10 + 2
8y = -8
divide both sides by 8
y = -1
...
5. 5(y-1) = 3y+7
distribute the 5
5y - 5 = 3y + 7
Group the y variable on the left side alone
5y - 3y = 7 + 5
2y = 12
divide both sides by 2
y = 6
..........
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