Solve the system of equations:

y = 2x - 5

y = x2 - 5

Since you are given two equations

y = 2x - 5

y = x^2 - 5

Substitute into one of the equations ...,

; x^2 - 5 = 2x - 5

; x^2 - 2x = - 5 + 5

; x^2 - 2x = 0

Hence you factorise the equation ...,

; x (x - 2) = 0

Hence ... x = 0 and 2

And for the value of y

; Substitute with the value of x onto one of either equations

for ... x = 2

; y = 2 (2) - 5 ... y = - 1

for ... x = 0

; y = 2 (0) - 5 ... y = - 5