Mathematics: Solve the system of equations. y=x+5 y=x2+5x−7 enter your answers in the boxes. 4 5 6 7

The slope is -8/3Step-by-step explanation:...

Solve the system of equations. y=x+5 y=x2+5x−7

maddie1776

11.03.2022

(2, 7) or (-6, 1)

Step-by-step explanation:

We are given two equations:

y=x+5 ; and

y = x^2+5x-7

Since y is the subject for both the equations so we can put the values of y equal to each other to get:

x+5=x^2+5x-7

x^2+5x-x-7-5=0

x^2+4x-12=0

Factorizing the expression to get:

x^2-2x+6x-12=0

x(x-2)+6(x-2)=0

(x-2) (x+6) = 0

x=2, x= -6

Putting x = 2 and x = -6 in any of the equations to get the values of y:

y=x+5

y =2+5

y=7

and

y =(-6)+5

y=1

Therefore, solution to these equation is (2, 7) or (-6, 1).

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