Question

brian tried to solve the equation $3k - 6 = 15$. he wan
brians work is shown. where did he make
a mistake? choose the first incorrect step
in brians work.
step 1, because he should not have
subtracted 6 to isolate $3k$
what should brian have done instead?
complete the statement.
brian should have? on both
sides to get $3k =$?.

Explanation:

Step1: Recall solving linear equations

To solve \(3k - 6 = 15\), we need to isolate the term with \(k\) (which is \(3k\)). The equation has \( - 6\) with \(3k\), so we use the inverse operation of subtraction, which is addition.

Step2: Add 6 to both sides

Add 6 to both sides of the equation \(3k - 6 = 15\). So, \(3k-6 + 6=15 + 6\). Simplifying the left side (since \(-6 + 6 = 0\)) and the right side (\(15+6 = 21\)), we get \(3k=21\).

Answer:

Brian should have \(\boldsymbol{\text{added 6}}\) on both sides to get \(3k = \boldsymbol{21}\).