contestada

Is the equation [tex]-2(4-x)=2x+8[/tex] an identity? Explain your reasoning.


A. Yes, because solving the equation gives a statement that is never true.

B. Yes, because solving the equation gives a statement that is always true.

C. No, because solving the equation gives a statement that is never true.

D. No, because solving the equation gives a statement that is always true.


help I don't know what an identity is or how to explain

Respuesta :

Given:

The equation is [tex]-2(4-x)=2x+8[/tex].

To find:

Whether the given equation is an identity or not.

Solution:

If both sides of an equation are equal for all values of variables, then it is called identity.

We have,

[tex]-2(4-x)=2x+8[/tex]

[tex]LHS=-2(4-x)[/tex]

[tex]LHS=-2(4)-2(-x)[/tex]

[tex]LHS=-8+2x[/tex]

[tex]LHS=2x-8[/tex]

Now,

[tex]2x-8=2x+8[/tex]

On subtracting 2x from both sides, we get

[tex]-8=8[/tex]

This statement is never true.

[tex]LHS\neq RHS[/tex]

So, the given equation is not an identity because solving the equation gives a statement that is never true.

Therefore, the correct option is C.

Otras preguntas