Question

How can x2 = 2x + 4 be set up as a system of equations?

Answer 1

`\bf x^2=2x+4\implies \begin{cases} y=x^2 \\\\ y=2x+4 \end{cases}\implies y=y`

Answer 2

Thus, our system of equation becomes,

`x^2-y=0` and
`y-2x=4`

Explanation:

Given equation :
`x^2=2x+4`

We have to set up the given equation as a system of equations.

We can set an equation as a system of equations by placing its both side equal to a single variable term.

Consider the given equation
`x^2=2x+4`.

since, the given equation
`x^2=2x+4` has two sides right side and left side , let put them equal to a same variable y ,

then we get,

`x^2=y` and
`2x+4=y`

Thus, our system of equation becomes,

`x^2-y=0` and
`y-2x=4`