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

What is it? A or B I've been stuck for a while please help-example-1
User Kimm
by
7.3k points

2 Answers

6 votes
I think the correct answer choice is B
User Rui Oliveira
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7.1k points
5 votes

Answer:

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

User Brhardwick
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6.7k points