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kotegsom [21]
3 years ago
7

My chemistry book is 8 years older than my Algebra book. In 6 years the chemistry book will be twice as old as the Algebra book.

Show me the variable expressions for the 'now' ages of these books.
Mathematics
1 answer:
4vir4ik [10]3 years ago
6 0

Answer:

x + 14 = 2(x + 6)

x = 2

Step-by-step explanation:

Let

Algebra book age = x

Chemistry book age = x + 8

In 6 years time

Chemistry book age = x + 8 + 6

= x + 14

Algebra book age = x + 6

the chemistry book will be twice as old as the Algebra book.

x + 14 = 2(x+6)

x + 14 = 2x + 12

x - 2x = 12 - 14

- x = - 2

Divide both sides by -1

x = 2

Check:

Chemistry book age = x + 14

= 2 + 14

= 16

Algebra book age = x + 6

= 2 + 6

= 8

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5 0
3 years ago
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Help these are superrrrr hardd
sertanlavr [38]

Answer:

1.) 0

2.) b = -0.8333333333

3.) -x-22

Step-by-step explanation:

Pull out like factors :    -3x - 2  =   -1 • (3x + 2)

(-5 • (3x + 2) -  (x - 3)) -  (-16x - 7)  = 0

Pull out: -16x-7

After pulling out, we are left with:  (-16x-7) • ( 1 +( (-1) ))

Pull out like factors: -16x - 7  =   -1 • (16x + 7)  

0 = 0

____________________________________________

Simplifying

2(a + -3) + 4b + -2(a + -1b + -3) + 5 = 0

Reorder the terms:

2(-3 + a) + 4b + -2(a + -1b + -3) + 5 = 0

(-3 * 2 + a * 2) + 4b + -2(a + -1b + -3) + 5 = 0

(-6 + 2a) + 4b + -2(a + -1b + -3) + 5 = 0

Reorder the terms:

-6 + 2a + 4b + -2(-3 + a + -1b) + 5 = 0

-6 + 2a + 4b + (-3 * -2 + a * -2 + -1b * -2) + 5 = 0

-6 + 2a + 4b + (6 + -2a + 2b) + 5 = 0

Reorder the terms:

-6 + 6 + 5 + 2a + -2a + 4b + 2b = 0

Combine like terms: -6 + 6 = 0

0 + 5 + 2a + -2a + 4b + 2b = 0

5 + 2a + -2a + 4b + 2b = 0

Combine like terms: 2a + -2a = 0

5 + 0 + 4b + 2b = 0

5 + 4b + 2b = 0

Combine like terms: 4b + 2b = 6b

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Solving

5 + 6b = 0

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-5' to each side of the equation.

5 + -5 + 6b = 0 + -5

Combine like terms: 5 + -5 = 0

0 + 6b = 0 + -5

6b = 0 + -5

Combine like terms: 0 + -5 = -5

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Divide each side by '6'.

b = -0.8333333333

Simplifying

b = -0.8333333333

_______________________________________

|x - 2| - 4*|-6|

=|x - 2| - 4* 6

=|x - 2| - 24

x-2>=0 then x>= 2 and = x-2-24  = x-26

x-2<0 then  x<2 and = 2-x-24 =-x-22

so , If x>=2 then the expression will equal   x-26

&

If  x<2 then the expression will equal    -x-22

_________________________________________

❂✨Answered By Tokyo ✨❂

❉ Brainliest Would Be Appreciated❉

✯If You Have Questions Ask In the Chat Box✯

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6 0
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