Question

Name the property illustrated by each statement.

70. If $\mathbf{-}\mathbf{2}\mathbf{x}\mathbf{-}\mathbf{5}\mathbf{=}\mathbf{9}$and $\mathbf{9}\mathbf{=}\mathbf{6}\mathbf{x}\mathbf{+}\mathbf{1}$, then$\mathbf{-}\mathbf{2}\mathbf{x}\mathbf{-}\mathbf{5}\mathbf{=}\mathbf{6}\mathbf{x}\mathbf{+}\mathbf{1}$

Short answer

Property illustrated in the statement istransitive property of equality.

Step-by-step solution

– Observe the given statement. 

From the given statement it can be observed that the right-hand side of $-2x-5=9$and left-hand side of $9=-2x-5$ are same. Therefore,

$-2x-5=6x+1$

– Transitive property of equality. 

Transitive property of equality states that, for any real numbers $p,q$and$r,$if $p=q$, and$q=r$then$p=r$.

– Description of step.

From step 1 and step 2, it can be concluded that the property illustrated in the given statement is transitive property of equality.

Therefore, transitive property of equality is illustrated in the given statement.