Q54. - Algebra 1

Question

Write two equations showing the transitive property of equality. Justify your reasoning.

Step-by-Step Solution

Answer

$\mathit{a}\mathbf{=}\mathit{b}\mathbf{;}\mathit{b}\mathbf{=}\mathit{c}\mathbf{;}\mathit{a}\mathbf{=}\mathit{c}$

Step 1 – Write the property.

The transitive property of equality is defined as:

If $a=b$ and $b=c$, then $a=c$.

Step 2 – Write 1 st equation.

Consider Adam, Bob and John age be $x,y$ and $z$ respectively.

Age of Adam is equal to age of age of bob. Age of bob is equal to age of John. Then age of Adam is also equal to age of John. 

Then

$x=y;y=z;x=z$

Step 3 – Write 2 nd equation.

Consider the cost of a bat is $m$ cost of a ball is n and cost of a cap is $k$. 

Cost of bat is equal to cost of ball and cost of ball equal to cost of cap then cost of cap is equal to cost of bat.

$m=n;n=k;m=k$