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katovenus [111]
3 years ago
12

What is the value of x in the equation 3/4(1/4x+8)-(1/2x+2)=3/8(4-x)-1/4x ?

Mathematics
2 answers:
liq [111]3 years ago
8 0

Answer: x = 24

Step-by-step explanation:

3/4 (x/4 + 8) - x/2 +2 = 3/8 (4-x) - x/4

3x/16 + 6 - x = 3/2 - 3x/8 - x/4

collect like term

3x/16 - x+ 3x/8 +x/4 = 3/2 -6

3x-16x+6x +4x / 16 = 3-12 / 2

-3x/16 = -9/2

cross multiply

-6x = -144

Divide bothside by -6

-6x/-6 = -144/6

x = 24

blondinia [14]3 years ago
3 0

Answer:

-17

Step-by-step explanation:

LCM=8

3/4(1/4x+8)-(1/2x+2)=3/8(4-x)-1/4x

6(

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The correct answer is the first option.


If you want to use elimination, you can sum the two equations for example, so that the x's simplify:


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Plug this value for y in one of the equations to derive the value of x:


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