SOLUTION: 2.1x+45.2=3.2-8.4x 1/3(2x-1)=7 1/6(3/4x-2)=-1/5

Algebra ->  Expressions-with-variables -> SOLUTION: 2.1x+45.2=3.2-8.4x 1/3(2x-1)=7 1/6(3/4x-2)=-1/5      Log On


   

Question 54027: 2.1x+45.2=3.2-8.4x
1/3(2x-1)=7
1/6(3/4x-2)=-1/5
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
1) This can be simplified by multiplying everything by 10 to eliminate the decimals.
2.1x%2B45.2=3.2-8.4x
10%282.1x%29%2B10%2845.2%29=10%283.2%29%2B10%28-8.4x%29
21x%2B452=32-84x
84x%2B21x%2B452=32-84x%2B84x
105x%2B452=32
105x%2B452-452=32-452
105x=-420
105x%2F105=-420%2F105
cross%28105%29x%2Fcross%28105%29=-4
highlight%28x=-4%29
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2) This can be simplified by multiplying everything by the LCD, 3.
%281%2F3%29%282x-1%29=7
3%281%2F3%29%282x-1%29=3%287%29
%28cross%283%29%2Fcross%283%29%29%282x-1%29=21
2x-1=21
2x-1%2B1=21%2B1
2x=22
cross%282%29x%2Fcross%282%29=22%2F2
highlight%28x=11%29
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3) This can be simplified by multiplying both sides of = sign by LCD,30.
%281%2F6%29%28%283%2F4%29x-2%29=-1%2F5
30%281%2F6%29%28%283%2F4%29x-2%29=30%28-1%2F5%29
%2830%2F6%29%28%283%2F4%29x-2%29=-30%2F5
5%28%283%2F4%29x-2%29=-6
%2815%2F4%29x-10=-6
%2815%2F4%29x-10%2B10=-6%2B10
%2815%2F4%29x=4
%28cross%284%29%2A15%2Fcross%284%29%29x=4%2A4
15x=16
cross%2815%29x%2Fcross%2815%29=16%2F15
highlight%28x=16%2F15%29
Don't let fractions and decimals unnerve you. Annihalate them before you get started!
Happy Calculating!!!