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AlekseyPX
3 years ago
8

rac{2}{3} + 5x = 7 - 2x" alt="4 \frac{2}{3} + 5x = 7 - 2x" align="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
liq [111]3 years ago
8 0
Convert the mixed number to a improper fraction 5x+2x=7-14/3, collect like terms 7x=7-14/3=7x=7/3, decide seven on both sides x= 1/3
Delicious77 [7]3 years ago
5 0

4 2/3+5x=7-2x

Add 2x to both sides.

4 2/3+7x=7

Subtract 4 2/3 on both sides.

7x=2 1/3

7x=7/3

Divide by 7 on both sides.

x=1/3

answer: x=1/3

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Tyron has 27 playlists on his iPod. Each playlist contains 35 songs. How many songs does Tyron have on all of his playlists?​
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What is the greatest common factor of the polynomial below 12x^2-9x
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3 years ago
LAST QUSTION OF THE NIGHT!!!!!<br> HELP SHOW WORK PLZ AND THANK YOU!!!
MissTica
Okay, so, to find out if an equation has one solution, an infinite number of solutions, or no solutions, we must first solve the equation:

(a) 6x + 4x - 6 = 24 + 9x

First, combine the like-terms on both sides of the equal sign:

10x - 6 = 24 + 9x

Now, we need to get the numbers with the variable 'x,' on the same side, by subtracting, in this case:

10x - 6 = 24 + 9x
-9x. -9x
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X - 6 = 24

Now, we do the opposite of subtraction, and add 6 to both sides:

X - 6 = 24
+6 +6
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X = 30

So, this particular equation has one solution.

(a). One solution
_____________________________________________________

(b) 25 - 4x = 15 - 3x + 10 - x

Okay, so again, we combine the like-terms, on the same side of the equal sign:

25 - 4x = 25 - 2x

Now, we get the 2 numbers with the variable 'x,' to the same side of the equal sign:

25 - 4x = 25 - 2x
+ 2x + 2x
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25 - 2x = 25

Next, we do the opposite of addition, and, subtract 25 on each side:

25 - 2x = 25
-25 -25
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-2x = 0

Finally, because we can't divide 0 by -2, this tells us that this has an infinite number of solutions.

(b) An infinite number of solutions.

__________________________________________________

(c) 4x + 8 = 2x + 7 + 2x - 20

Again, we combine the like-terms, on the same side as the equal sign:

4x + 8 = 4x - 13

Now, we get the 'x' variables on the same side, again, and, we do that by doing the opposite of addition, which, is subtraction:

4x + 8 = 4x - 13
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8 = -13

Finally, because there is no longer an 'x' or variable, we know that this equation has no solution.

(c) No Solution
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I hope this helps!
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