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2 years ago

What is the answer to this?

Mathematics

1 answer:

Dmitry [639]2 years ago

8 0

Answer:

Step-by-step explanation:

If you simplify the equations and the left side is identical to the right side, then there are an infinite number of solutions: the equation is true for all values of x.

Another way to simplify the equation is to subtract the right side from both sides. If that simplifies to 0 = 0, then there are an infinite number of solutions.

2x -6 -6x = 2 -4x . . . . eliminate parentheses

-4x -6 = -4x +2 . . . . no solutions (no value of x makes this true)

x +2 = 15x +10 +2x . . . . eliminate parentheses

x +2 = 17x +10 . . . . one solution (x=-1/2)

4 +6x = 6x +4 . . . . eliminate parentheses

6x +4 = 6x +4 . . . . infinite solutions

6x +24 = 2x -4 . . . . eliminate parentheses; one solution (x=-7)

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3 years ago

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3 years ago

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3 years ago

Use the euclidean algorithm to find

kvasek [131]

A)
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$12=2\cdot6+0$
$\implies\mathrm{gcd}(12,18)=6$

b)
$201=1\cdot111+90$
$111=1\cdot90+21$
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c)
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$330=30\cdot11+0$
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d)
$54321=4\cdot12345+4941$
$12345=2\cdot4941+2463$
$4941=2\cdot2463+15$
$2463=164\cdot15+3$
$15=5\cdot3+0$
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e)
$5040=5\cdot1000+40$
$1000=25\cdot40+0$
$\implies\mathrm{gcd}(1000,5040)=40$

f)
$9888=1\cdot6060+3828$
$6060=1\cdot3828+2232$
$3828=1\cdot2232+1596$
$2232=1\cdot1596+636$
$1596=2\cdot636+324$
$636=1\cdot324+312$
$324=1\cdot312+12$
$312=26\cdot12+0$
$\implies\mathrm{gcd}(9888,6060)=12$

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3 years ago