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If a + b + C = -1 and x + y + z = -8, what is -8z -8x + 5a + 5c - 8y + 5b

User SerKnight
by
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2 Answers

6 votes

Answer:

59

Explanation:

The first step here is to rewrite -8z -8x + 5a + 5c - 8y + 5b as

-8x - 8y - 8z + 5a + 5b + 5c.

This is the same as -8(x + y + z) + 5(a + b + c).

Subbing -8 for (x + y + z) and -1 for (a + b + c), we get -8(-8) - 5, or 59.

User Frrlod
by
4.8k points
3 votes

Answer:

59

Explanation:

a + b + C = -1

x + y + z = -8

We want 5a so multiply the first equation by 5

5(a + b + c) = -1*5

5a+5b+5c = -5

We want -8x so multiply the second equation by -8

-8(x + y + z) = -8*-8

-8x-8y-8x = 64

Add these equations together

5a+5b+5c = -5

-8x-8y-8x = 64

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

-8x -8y-8x+5a+5b+5c = 59

Rearrange the order

-8z -8x + 5a + 5c - 8y + 5b = 59

User Ivan Olshansky
by
3.9k points