Question

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

Answer 1

Answer:

Correct choice: B

Step-by-step 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

Answer 2

I think the correct answer choice is B