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VMariaS [17]
3 years ago
6

For what valuea of a and b is the statement true? |a+b| = |a|+|b|

Mathematics
1 answer:
tankabanditka [31]3 years ago
8 0

2 positive integers is the answer to this question because if you test the hypothesis, for example lets take 1 and 2 for instance. |1+2| = |1| + |2|  3=3. Whereas if you tried other hypothesis' they would not work. So, 2 positive integers is the answer.

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How can 1/5x − 2 = 1/3x + 8 be set up as a system of equations? a . 5y − 5x = −10. 3y − 3x = 24 b. 5y − 5x = −10. 3y + 3x = 24 c
VMariaS [17]
The answer is d. 5y − x = −10. 3y − x = 24

\frac{1}{5}x-2=  \frac{1}{3}x+8=y
⇒   y= \frac{1}{5}x-2
      y= \frac{1}{3}x+8
________________________
y= \frac{x}{5} -2= \frac{x}{5} - \frac{10}{5} = \frac{x-10}{5}
y= \frac{x}{3} +8= \frac{x}{3} + \frac{24}{3} = \frac{x+24}{3}
________________________
y= \frac{x-10}{5}            ⇒     5y=x-10
y= \frac{x+24}{3}           ⇒     3y=x+24
________________________
5y-x=-10
3y-x=24
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