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solniwko [45]
4 years ago
14

Solve for x and y.

Mathematics
2 answers:
telo118 [61]4 years ago
8 0
4^{x+y}=64\Rightarrow x+y=3
2^{2x-y}=128\Rightarrow 2x-y=7

So we have
x+y=3
2x-y=7
Solve for x:
3x=10
\Rightarrow x=\frac{10}{3}

Plug x into one of the equations:
\frac{10}{3}+y=3
\Rightarrow y=-\frac{1}{3}

So the answer is
x=\frac{10}{3}, y=-\frac{1}{3}
Schach [20]4 years ago
5 0
4^10/3 + -1/3 will equal to 64
2^(2*10/3-1/3) will equal to 128

Your final answer is A.<span> x = 10/3, y = -1/3</span>
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