katelin420 katelin420
  • 11-09-2019
  • Mathematics
contestada

Solve the system of equations:
y = 2x - 5
y = x2 - 5​

Respuesta :

thedemon840
thedemon840 thedemon840
  • 11-09-2019

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

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