Respuesta :

because y=x+2, x^2+5x-3=x+2, therefore x^2+4x-5=0, so (x-1)(x+5), so x=-5,1

The solution to the system of equations  are (1, 3) and (-5, -3)

Given the following functions

Y=x^2+5x-3

Y-x=2; y = x + 2

Equating both outputs will give

x^2+5x-3 = x + 2

x^2+5x-3 - x - 2 = 0

x^2 + 4x - 5 = 0

Factorize the equation

x^2 + 5x - x - 5=0

x(x+5) - 1(x+5) = 0

(x-1)(x+5) = 0

x = 1 and -5

Recall that y = x + 2

y = 3 and -3

Hence the solution to the system of equations  are (1, 3) and (-5, -3)

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