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

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jdoe0001 jdoe0001 · Answer 1 · 2017-02-16T00:42:06+01:00

[tex]\bf x^2=2x+4\implies \begin{cases} y=x^2 \\\\ y=2x+4 \end{cases}\implies y=y[/tex]

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athleticregina athleticregina · Answer 2 · 2019-02-20T07:44:48+01:00

Answer:

Thus, our system of equation becomes,

[tex]x^2-y=0[/tex] and [tex]y-2x=4[/tex]

Step-by-step explanation:

Given equation : [tex]x^2=2x+4[/tex]

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 [tex]x^2=2x+4[/tex].

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

then we get,

[tex]x^2=y[/tex] and [tex]2x+4=y[/tex]

Thus, our system of equation becomes,

[tex]x^2-y=0[/tex] and [tex]y-2x=4[/tex]