Question

brian tried to solve the equation 3k - 6 = 15. he wants to find and correct his error. brian’s work is shown. where did he make a mistake? choose the first incorrect step in brian’s 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 =?. brian’s work 3k - 6 = 15 step 1 - 6 - 6 step 2 3k = 9 step 3 (3k)/3 = 9/3 step 4 k = 3

Explanation:

Step1: Analyze the equation

The equation is \(3k - 6 = 15\). To isolate \(3k\), we need to get rid of the \(-6\) on the left side. The inverse operation of subtraction is addition. So we should add 6 to both sides, not subtract 6.

Step2: Perform the correct operation

Add 6 to both sides: \(3k - 6 + 6 = 15 + 6\). Simplifying, we get \(3k = 21\).

Answer:

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