would (3, 11) and (−3, −7) be the answer to What are the solutions to the following system of equations?
y = x2 + 3x − 7
3x − y = −2

Question

would (3, 11) and (−3, −7) be the answer to What are the solutions to the following system of equations?
y = x2 + 3x − 7
3x − y = −2

whpalmer4 · Answer

Here's how you find out: 

plug $(x=3,y=11)$ into both equations.  Do they both work with those values?  If so, it is a solution.

anonymous · Answer

i think so

whpalmer4 · Answer

Here's what I mean:

$$y = x^2+3x-7$$Plug in $x-3,y=11$
$$11=(3)^2+3(3) - 7$$$$11=9+9-7$$$$11=11\checkmark$$$$3x-y=-2$$$$3(3)-11=-2$$$$9-11=-2$$$$-2=-2\checkmark$$

That shows the point $(3,11)$ is a solution to the system.

whpalmer4 · Answer

The other one is correct as well.  Good job!

whpalmer4 · Answer

Here's a graph showing the line and the parabola and their intersection at the solutions.