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​ y=−8x−3 x+y=7 ​ Is (3,4)(3,4)left parenthesis, 3, comma, 4, right parenthesis a solution of the system? Choose 1 answer: Choose 1 answer: (Choice A) A Yes (Choice B) B No

Sagot :

Given:

The system of equation is

[tex]y=-8x-3[/tex]

[tex]x+y=7[/tex]

To find:

Whether (3,4) is a solution of the given system or not.

Solution:

We have,

[tex]y=-8x-3[/tex]          ...(i)

[tex]x+y=7[/tex]            ...(ii)

Putting the value of y in (ii) from (i), we get

[tex]x+(-8x-3)=7[/tex]

[tex]x-8x-3=7[/tex]

[tex]-7x=7+3[/tex]

[tex]-7x=10[/tex]

Divide both sides by -7.

[tex]x=\dfrac{10}{-7}[/tex]

[tex]x=-\dfrac{10}{7}[/tex]

Putting [tex]x=-\dfrac{10}{7}[/tex] in (i), we get

[tex]y=-8\times (\dfrac{-10}{7})-3[/tex]

[tex]y=\dfrac{80}{7}-3[/tex]

[tex]y=\dfrac{80-21}{7}[/tex]

[tex]y=\dfrac{59}{7}[/tex]

So, the only solution of the given system is [tex]\left(-\dfrac{10}{7},\dfrac{59}{7}\right)[/tex].

Hence, (3,4) cannot be a solution of given system, Hence the correct option is B.

nicolascarrillo12110

Answer: B I got it right in khan academy

Step-by-step explanation:

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