Question

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

a. x + 6g − 6g = x
b. 2f − 4e + 4e = 2f

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.