ANSWER
The solution is (1,-3)
EXPLANATION
The given equations are:
[tex]y = {x}^{2} - 4[/tex]
and
[tex]y = 2x - 5[/tex]
Equate both equations:
[tex] {x}^{2} - 4 = 2x - 5[/tex]
[tex] {x}^{2} - 2x - 4 + 5 = 0[/tex]
[tex] {x}^{2} - 2x + 1 = 0[/tex]
[tex](x - 1)(x - 1) = 0[/tex]
[tex]x = 1[/tex]
Put x=1 into any of the equations, preferably equation (2)
[tex]y = 2(1) - 5 = - 3[/tex]
The solution is (1,-3)
