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3 years ago

Which ordered pair satisfies the system of equations for 3x-y=8 and x+y=2? A.) (3,-1) B.) (2.5,0.5) C.) (2.5,-0.5)(5,-3)

Mathematics

1 answer:

raketka [301]3 years ago

6 0

Answer:

3x - y = 8

y = 3x - 8

y = 3*2.5 - 8 = -0.5 --> (2.5, -0.5)

y = 3*5 - 8 = 7 --> (5, 7)

Answer C is correct.

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Answer:

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3 years ago

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Answer:

Verified

Step-by-step explanation:

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3 years ago

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Goryan [66]

Hello,

Let's assume k the ratio.

$
 \left \{ {{3x=k*(4x+4)} \atop {4x+4=k*(7x-2)}} \right. \\\\
 \left \{ {{3x-4kx=4k} \atop {4x-7kx=-2k-4}} \right. \\\\
 \left \{ {{x(3-4k)=4k} \atop {x(4-7k)=-2k-4}} \right. \\\\
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\dfrac{4k}{3-4k}=\dfrac{-2k-4}{4-7k}\\\\

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\boxed{k= \dfrac{2}{3} \ or\ k= -\dfrac{1}{2}}\\\\

x=\dfrac{4*\dfrac{2}{3} }{3-4*\dfrac{2}{3} }=8\\
x=\dfrac{4*\dfrac{-1}{2} }{3-4*\dfrac{-1}{2} }=-\dfrac{2}{5}\\





$

$\boxed{x= 8 \ or\ x= -\dfrac{2}{5}}\\\\$

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3 years ago