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Answer:</h3>
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Explanation:</h3>
Represent the sentence mathematically. 
Distribute. 
Add 6 on both sides. 
Divide both sides by 2.
Answer:
the problem has an infinite number of solutions
Explanation:
3x - 12y = 6
x - 4y = 2
make the coefficient of x same by multiplying the entire following by 3
⇒ ( x - 4y = 2 ) * 3
⇒ 3x - 12y = 6 __ equation 2
3x - 12y = 6 __ equation 1
solving using elimination method:
3x - 12y = 6
3x - 12y = 6
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Omar can make 14 whole dumplings. You change 2 3/4 cups to an improper fraction ( multiply the denominator and add the numerator ) and you get 11/4. Since you need 3/16 cups for one dumpling you have to find the greatest common denominator which is 16. You multiply 4 by 11 to get the numerator and end up with 44/16. Since you need 3/16 for one whole dumping you divide 44 by 3 and get 14.6 repeating. You cannot have a fraction of a dumpling so you round down and get the answer 14.
(6x+9y=78) - (6x+4y=38) = (5y=40) = y=8
(2x+3(8)=26) = (2x+24=26) = (2x=2) = x=2
To solve/simplify this all you have to do is group like terms (the x^2's with each other, the x's with each other, and the normal numbers, -8)
14x^2-8+5x-6x^2+2x
group the x^2 (add 14x^2 to -6x^2)
8x^2-8+5x+2x
group the x's together (add 5x and 2x together)
8x^2+7x-8
Your answer will be d) 8x^2+7x-8
