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Paladinen [302]
3 years ago
13

The solution set of |R-3|=10

Mathematics
1 answer:
NemiM [27]3 years ago
8 0
|r - 3| = 10
Set up two equations.
r - 3 = 10 and r - 3 = - 10
add 3. add 3.
r = 13 r = -7
{ -7, 13}
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3 years ago
Solve 3m+7/2=−2m+5/2 what is m
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Solve for m:3 m + 7/2 = 5/2 - 2 m
Put each term in 3 m + 7/2 over the common denominator 2: 3 m + 7/2 = (6 m)/2 + 7/2:(6 m)/2 + 7/2 = 5/2 - 2 m
(6 m)/2 + 7/2 = (6 m + 7)/2:(6 m + 7)/2 = 5/2 - 2 m
Put each term in 5/2 - 2 m over the common denominator 2: 5/2 - 2 m = 5/2 - (4 m)/2:(6 m + 7)/2 = 5/2 - (4 m)/2
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Add 4 m to both sides:6 m + 4 m + 7 = (4 m - 4 m) + 5
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6 m + 4 m = 10 m:10 m + 7 = 5
Subtract 7 from both sides:10 m + (7 - 7) = 5 - 7
7 - 7 = 0:10 m = 5 - 7
5 - 7 = -2:10 m = -2
Divide both sides of 10 m = -2 by 10:(10 m)/10 = (-2)/10
10/10 = 1:m = (-2)/10
The gcd of -2 and 10 is 2, so (-2)/10 = (2 (-1))/(2×5) = 2/2×(-1)/5 = (-1)/5:Answer: m = (-1)/5
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