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Katy tried to solve an equation.

r-3=14.3

r-3+3=14.3-3quad Setting up

r=11.3quad Calculating
Where did Katy make her first mistake?

Katy tried to solve an equation. $\newline$ $r-3=14.3$ $\newline$ $r-3+3=14.3-3 \quad$ Setting up $\newline$ $r=11.3 \quad$ Calculating $\newline$ Where did Katy make her first mistake?

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Add and subtract integers: word problems

Full solution

Q. Katy tried to solve an equation.

\newline

r-3=14.3

\newline

r-3+3=14.3-3 \quad

Setting up

\newline

r=11.3 \quad

Calculating

\newline

Where did Katy make her first mistake?

Addition to cancel $-3$ : Katy starts with the equation $r - 3 = 14.3$ and wants to isolate $r$ . To do this, she needs to add $3$ to both sides of the equation to cancel out the $-3$ on the left side. This is the correct first step in solving the equation. $\newline$ $r - 3 + 3 = 14.3 + 3$
Calculate sum for isolation: Next, Katy calculates the sum on both sides of the equation. On the left side, $-3 + 3$ equals $0$ , which leaves $r$ alone. On the right side, $14.3 + 3$ equals $17.3$ , not $11.3$ as Katy calculated. This is where Katy made her first mistake. $\newline$ $r = 17.3$

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