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Travka [436]
3 years ago
12

Which expression is equivalent to -1/4( -1/2x - 3/4) -1/2 ( 3/4x + 1/8)

Mathematics
1 answer:
solniwko [45]3 years ago
4 0

Answer:

Step-by-step explanation:

\frac{-1}{4}(\frac{-1}{2}x-\frac{3}{4})-\frac{1}{2}(\frac{3}{4}x+\frac{1}{8})\\\\=\frac{-1}{4}*\frac{-1}{2}x-\frac{-1}{4}*\frac{3}{4}-\frac{1}{2}*\frac{3}{4}x-\frac{1}{2}*\frac{1}{8}\\\\=\frac{1}{8}x+\frac{3}{16}-\frac{3}{8}x-\frac{1}{16}\\\\=\frac{1}{8}x-\frac{3}{8}x+\frac{3}{16}-\frac{1}{16}\\\\=\frac{(1-3)x}{8}+\frac{3-1}{16}\\\\=\frac{-2}{8}x+\frac{2}{16}\\\\=\frac{-1}{4}x+\frac{1}{4}

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-13x=90-2y <br> -6x=48-2y
Kisachek [45]

While it's pretty obvious to most of us that


-13x=90-2y

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is a system of linear equations, it'd be well to include that info plus the instructions "solve this system of linear equations."


Subtract the 2nd equation from the first:


-13x=90-2y

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-----------------------

-7x = 42. Then x = -42/7, or x = 6.


Now subst. 6 for x in either one of the given equations. Suppose we use the 2nd equation:


-6x=48-2y


Then -6(6)=48-2y, or -36 = 48 - 2y, or 2y = 48+ 36 = 84. Then y = 42.


The solution is (6, 42).

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Answer:

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Step-by-step explanation:

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