Question

Tell whether the following equations are true or false. Then, explain your reasoning.

Answer 1

Answer and explanation:

Given : Equations

1) $x + 6g-6g = x$

2) $2f-4e + 4e = 2f$

To find : Tell whether the following equations are true or false. Then, explain your reasoning.

Solution :

Equation means when left hand side and right hand side of the equation is same.

1) $x + 6g-6g = x$

Take LHS,

$LHS=x + 6g-6g$

Same term with opposite sign cancel each other or sum is zero,

$LHS=x$

$LHS=RHS$

Therefore, Yes, it is true as it satisfy definition of equation.

2) $2f-4e + 4e = 2f$

Take LHS,

$LHS=2f-4e + 4e$

Same term with opposite sign cancel each other or sum is zero,

$LHS=2f$

$LHS=RHS$

Therefore, Yes, it is true as it satisfy definition of equation.