Question

What are the solutions to the following system of equations?

y = x2 + 3x − 7


3x − y = −2

Answer 1

`(-3,-7)` and
`(3,11)`

Explanation:

we have

`y=x^(2) +3x-7` -----> equation A

`3x-y=-2` ------> equation B

we know that

The solution of the system of equations is equal to the intersection point both graphs

Using a graphing tool

see the attached figure

There are two intersection points

Therefore

The system of equations has two solutions

The solutions of the system of equations are the points
`(-3,-7)` and
`(3,11)`