Answered

Join IDNLearn.com and start getting the answers you've been searching for. Join our community to receive prompt, thorough responses from knowledgeable experts.

​ 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.

Nicolascarrillo12110idn

Answer: B I got it right in khan academy

Step-by-step explanation:

Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is committed to providing the best answers. Thank you for visiting, and see you next time for more solutions.