Answer and explanation:
Given : Equations
1) [tex]x + 6g-6g = x[/tex]
2) [tex]2f-4e + 4e = 2f[/tex]
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) [tex]x + 6g-6g = x[/tex]
Take LHS,
[tex]LHS=x + 6g-6g[/tex]
Same term with opposite sign cancel each other or sum is zero,
[tex]LHS=x[/tex]
[tex]LHS=RHS[/tex]
Therefore, Yes, it is true as it satisfy definition of equation.
2) [tex]2f-4e + 4e = 2f[/tex]
Take LHS,
[tex]LHS=2f-4e + 4e[/tex]
Same term with opposite sign cancel each other or sum is zero,
[tex]LHS=2f[/tex]
[tex]LHS=RHS[/tex]
Therefore, Yes, it is true as it satisfy definition of equation.
