You want to isolate the x first.
Subtract 3/7 from both sides.
That will result in -2/3x = 1/2 - 3/7
(common denominator = 14)
-2/3x = 1/14
Find x by multiplying both sides by 3/-2
Find the answer yourself after :P
Because M is the midpoint of AB, then AM and MB are equal distances. And because a segment can be written as the sum of its pieces, AM + MB = AB.
So,
AM + MB = AB <--- distance of a segment is the sum of its pieces
AM + AM = AB <--- M is the midpoint, so AM = MB
3x + 3 + 3x + 3 = 8x - 6 <--- substituting known amounts that were given
6x + 6 = 8x - 6 <--- collect like terms on the left side
6x = 8x - 12 <--- subtract 6 on both sides
-2x = -12 <--- subtract 8x on both sides
x = 6 <--- divide both sides by -2
Because x = 6, we put it back into AM. 3(6) + 3 = 18 + 3 = 21
Thus, AM is 21 units.
Answer: -2a + 3b
Solution:
3b - 2a
Simplify
= -2a + 3b
2n + 1 , 2n + 3 , 2n + 5
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( 2n + 5 ) + ( 2n + 3 ) = 5 × ( 2n + 1 ) - 15
4n + 8 = 10n + 5 - 15
4n + 8 = 10n - 10
Add both sides 10
4n + 8 + 10 = 10n - 10 + 10
4n + 18 = 10n
Subtract both sides 4n
4n - 4n + 18 = 10n - 4n
18 = 6n
Divide both sides by 6
18 ÷ 6 = 6n ÷ 6
n = 3
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Thus that three numbers are :
2(3) + 1 , 2(3) + 3 , 2(3) + 5
6 + 1 , 6 + 3 , 6 + 5
7 , 9 , 11
And we're done ....