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Cloud [144]
3 years ago
5

Solve the system by graphing. {-2x=2y-4, 2x-y=-5

Mathematics
1 answer:
Phantasy [73]3 years ago
5 0

x=(2y-4)/-2

x=-y+2

2(-y+2)-y=-5

-2y+4-y=-5

-3y+4=-5

-3y=-9

y=3

x=-y+2

x=-3+2

x=-1

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how much is 6% of a?  well (6/100) * a, or 0.06a.
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so hmm whatever "a" and "b" amounts are, we know that their yield is $100, thus 0.06a + 0.08b = 100.

now, there's more money in "a" than in "b", 500 bucks more, so whatever "b" is, we know that a = b + 500.

\bf \begin{cases}
0.06a+0.08b=100\\
\boxed{a}=b+500\\
----------\\
0.06\left( \boxed{b+500} \right)+0.08b=100
\end{cases}
\\\\\\
0.06b+0.08b+30=100\implies 0.02b=70\implies b=\cfrac{70}{0.02}
\\\\\\
b=3500

how much was deposited in the 6% one?  well, a = b + 500.
8 0
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