Asked by Brian
Solve each equation: Thank you
5-x over 3 minus x-2 over 4 = 5/12
5-x over 3 minus x-2 over 4 = 5/12
Answers
Answered by
DrBob222
5-x over 3 minus x-2 over 4 = 5/12
Is this what you meant?
(5-x/3)-(x-2/4)=5/12
Multiply everything by 12.
12(5-x/3)-12(x-2/4)=12(5/12)
remove parentheses
20-4x-3x+6=5
combine terms
26-7x=5
-7x=5-26
-7x=-21
multiply by -1
7x=21
divide both sides by 7
7x/7 = 21/7
x=3
CHECK IT:
(5-x/3)-(x-2/4)=5/12
(5-3/3)-(3-2/4) = 5/12
(2/3)-(1/4) = 5/12
common denominator is 12.
(8/12)-(3/12) = 5/12
(8-3/12) = 5/12
5/12 = 5/12
done.
Is this what you meant?
(5-x/3)-(x-2/4)=5/12
Multiply everything by 12.
12(5-x/3)-12(x-2/4)=12(5/12)
remove parentheses
20-4x-3x+6=5
combine terms
26-7x=5
-7x=5-26
-7x=-21
multiply by -1
7x=21
divide both sides by 7
7x/7 = 21/7
x=3
CHECK IT:
(5-x/3)-(x-2/4)=5/12
(5-3/3)-(3-2/4) = 5/12
(2/3)-(1/4) = 5/12
common denominator is 12.
(8/12)-(3/12) = 5/12
(8-3/12) = 5/12
5/12 = 5/12
done.
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