Question

What is it? A or B I've been stuck for a while please help

Answer 1

I think the correct answer choice is B

Answer 2

Correct choice: B

Explanation:

System of non-linear equations

It's given the following system of equations:

`y=x^2+3x+5`

`y=x+13`

We'll use the substitution method. Substituting y from the first equation into the second equation, we have:

`x^2+3x+5=x+13`

Moving all terms to the left side:

`x^2+3x+5-x-13=0`

Simplifying:

`x^2+2x-8=0`

Factoring:

`(x+4)(x-2)=0`

There are two solutions:

x=-4, x=2

The first solution gives a value for y:

y=-4+13=9

First solution: (-4,9)

The second solution gives a value for y:

y=2+13=15

Second solution: (2,15)

Correct choice: B