What are the solutions to the following system of equations?y = x^{2} + 3x − 73x − y = −2

Nannie Mack

Nannie Mack

Answered question

2020-10-25

What are the solutions to the following system of equations?
{y=x2+3x73xy=2

Answer & Explanation

Theodore Schwartz

Theodore Schwartz

Skilled2020-10-26Added 99 answers

{y=x2+3x73xy=2
I'll plug the top into the bottom since it is already y=
3x(x2+3x7)=2
distribute the negative and get rid of parenthesis
3xx23x+7=2
condense x2+7=2
re-write as quadratic with positive x2
x29=0
solve for x
x=3,
x=3
plug in each x to get its y
y=7,
y=11
solutions: (-3,-7) and (3,11)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?