Question

What are the solutions to the following system of equations?x − y = 6y = x2 −6

Answer 1

Given:

x − y = 6

y = x2 −6

Required:

the solutions to the following system of equations?

Explanation:

Substitute one equation into another

$\begin{gathered} x-(x\times2-6)=6 \\ \\ x-(2x-6)=6 \\ \\ -x+6=6 \\ \\ -x=6+6=0 \\ \\ -x=0 \\ \\ substitute\text{ value of x in equation we get} \\ \\ y=-6 \end{gathered}$

Required answer:

x=0, y=-6