Verified Answer :

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y = x² + 3x - 7
3x - y = -2

  3x - y = -2
- 3x      - 3x
        -y = -3x - 2
         y = 3x + 2

x² + 3x - 7 = 3x + 2
     - 3x       - 3x
        x² - 7 = 2
           + 7 + 7
             x² = 9
              x = ±3

The solutions to the following system of equations is ±3.

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Answer:

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

Step-by-step 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 \((3,11)\)

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