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zimovet [89]
4 years ago
10

What is the greatest common factor for 12&15

Mathematics
1 answer:
murzikaleks [220]4 years ago
7 0
The greatest common factor of 12 and 15 is 3 because it is the greatest number divisible by both 12 and 15.

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I've tried elimination of every type and its required, but 2x+6y=18 and 3x+2y=13
sukhopar [10]
Lets start with one of the equations. 

<span>2x+6y=18

</span>Add -6y to both sides.

<span><span><span><span>2x</span>+<span>6y</span></span>+<span>−<span>6y</span></span></span>=<span>18+<span>−<span>6y

</span></span></span></span><span><span>2x</span>=<span><span>−<span>6y</span></span>+18

</span></span>Divide both sides by 2.

<span><span><span>2x</span>2</span>=<span><span><span>−<span>6y</span></span>+18</span>2

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Now lets plug this into the other equation.

</span></span>Simplify both sides of the equation.

<span><span><span>3<span>(<span><span>−<span>3y</span></span>+9</span>)</span></span>+<span>2y</span></span>=13

</span><span>Simplify

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</span>Subtract 27 from both sides.

<span><span><span><span>−<span>7y</span></span>+27</span>−27</span>=<span>13−27

</span></span><span><span>−<span>7y</span></span>=<span>−14

</span></span>Divide both sides by -7.

<span><span><span>−<span>7y/</span></span><span>−7 </span></span>= <span><span>−14/</span><span>−7

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</span>Answer:
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Now that we figured out the value for y, lets plug it into either equation. 

</span>2x+6(-2)=18<span>

</span>Simplify both sides of the equation.

<span><span><span>2x</span>+<span><span>(6)</span><span>(<span>−2</span>)</span></span></span>=18

</span><span>Simplify

</span><span><span><span>2x</span>−12</span>=18

</span>Add 12 to both sides.

<span><span><span><span>2x</span>−12</span>+12</span>=<span>18+12

</span></span><span><span>2x</span>=30

</span>Divide both sides by 2.

<span><span><span>2x/</span>2 </span>= <span>30/2

</span></span><span>x=<span>15</span></span>
Final answer: 

y = 2 
x = 15
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