Question

​ 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

Answer 1

Given:

The system of equation is

`y=-8x-3`

`x+y=7`

To find:

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

Solution:

We have,

`y=-8x-3` ...(i)

`x+y=7` ...(ii)

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

`x+(-8x-3)=7`

`x-8x-3=7`

`-7x=7+3`

`-7x=10`

Divide both sides by -7.

`x=(10)/(-7)`

`x=-(10)/(7)`

Putting
`x=-(10)/(7)` in (i), we get

`y=-8* ((-10)/(7))-3`

`y=(80)/(7)-3`

`y=(80-21)/(7)`

`y=(59)/(7)`

So, the only solution of the given system is
`\left(-(10)/(7),(59)/(7)\right)`.

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