Question

Solve the system of equations.

Answer 1

Equate the two equations you'll get:
(-6,1) or (2,7)

Answer 2

Answer:

(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).