To answer this question, try to solve the system of equations. Start by plugging in "[tex]x^{2} +3x-7[/tex]" in for y in the second equation:
[tex]x^{2} +3x-7-5x+8=0[/tex]
*Combine like terms*
[tex]x^{2} -2x+1=0[/tex]
*Factor*
[tex](x-1)(x-1)=0[/tex]
*Set each term equal to 0*
x-1=0
*Add 1 to both sides*
x=1
C) There is exactly 1 solution.
Hope this helps!!
