Question

Katy tried to solve an equation step by step. \begin{aligned} r-3&=14.3\\\\ r-3+3&=14.3-3&\green{\text{Step } 1}\\\\ r&=11.3&\blue{\text{Step } 2} \end{aligned} r−3 r−3+3 r ​ =14.3 =14.3−3 =11.3 ​ Step 1 Step 2 ​ Find Katy's mistake. Choose 1 answer: Choose 1 answer:

Answer 1

Answer: step 1

Step-by-step explanation:

Answer 2

Answer:

$r = 17.3$

Step-by-step explanation:

Given

$r - 3 = 14.3$

$r - 3 + 3 = 14.3 - 3$

$r = 11.3$

Required

Find Katy's mistake

Katy's mistake is at step 2;

Katy used additive property of equation;

This law implies that same number must be added or subtracted to both sides of an equation;

But, in Katy's case, Katy added 3 to a side and subtracted 3 from the other side;

The correct solution is as follows;

$r - 3 = 14.3$

Add 3 to both sides

$r - 3 + 3 = 14.3 + 3$

$r = 17.3$