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Elis [28]
3 years ago
6

HELP!!! CORRECT ANSWER NEEDED OR ELSE I FAIL ;-; STUDY ISLAND !!

Mathematics
1 answer:
Ket [755]3 years ago
5 0

Answer:

  B.  Step 2 uses the associative property, and step 3 uses the commutative property.

Step-by-step explanation:

The associative property lets you group terms for addition any way you like. It appears that in Step 2, the grouping is ...

  4 + (1/6 + 3) + 5/6

The commutative property lets you change the order of any pair of terms involved in addition. It appears that in Step 3, the order of the terms within the group has been swapped.

  4 + (3 + 1/6) + 5/6

_____

<em>Comment on associative and commutative properties</em>

What applies to terms in addition applies to factors in multiplication.

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Nadusha1986 [10]
\bf \begin{cases}&#10;\quad3x+2y=-9\\&#10;-10x+5y=-5&#10;\end{cases}

so hmm the idea behind the elimination, is to make the value atop or below, of either variable, the same but with a negative sign

so hmmm say... we'll eliminate "y"

so... let's see, we have 2y and 5y, both positive
what do we multiply 2y to get a negative -5y, that way, -5y +5y = 0 and poof it goes

well let's see, let's try "k"     \bf 2yk=-5y\implies k=-\cfrac{5y}{2y}\implies k=-\cfrac{5}{2}

so.. if we multiply 2y by -5/2, we'll end up with -5y

well, let's multiply that first equation then by -5/2

\bf \begin{array}{rllll}&#10;3x+2y=-9&\qquad\times -\frac{5}{2}\implies &-\frac{15}{2}x-5y=\frac{45}{2}\\\\&#10;-10x+5y=-5&\implies &-10x+5y=-5\\&#10;&&---------\\&#10;&&\frac{-35}{2}x+0\quad=\frac{35}{2}&#10;\end{array}\\\\&#10;-----------------------------\\\\&#10;\cfrac{-35}{2}x=\cfrac{-35}{2}\implies \cfrac{-35x}{2}=\cfrac{-35}{2}\implies x=\cfrac{2}{-35}\cdot \cfrac{-35}{2}&#10;\\\\\\&#10;\boxed{x=1}

so.. now we know x = 1.... so let's plug that in  say hmmm 2nd equation

\bf -10(1)+5y=-5\implies -10+5y=-5\implies 5y=5\implies\boxed{ y=1}
3 0
4 years ago
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