Question

algebra i with probability young ic qtr a continuous learning center - credit bearing (tutor) solving linear equations: variable on one side analyzing steps used to solve an equation lorena solved the equation 5k - 3(2k - 2/3) - 9 = 0. analyze lorena’s work to determine which statements are correct. choose two correct answers. lorena’s work 1. 5k - 6k + 2 - 9 = 0 2. -k - 7 = 0 3. -k = 7 4. k = 1/7 in step 1, she correctly distributed -3 to the parentheses. in step 2, she combined like terms 5k and 2k.

Explanation:

Step1: Check Step 1 distribution

Distribute - 3 in $-3(2k-\frac{2}{3})$: $-3\times2k+(-3)\times(-\frac{2}{3})=-6k + 2$. So in step 1: $5k-6k + 2-9 = 0$ is correct distribution.

Step2: Check Step 2 combination

In step 2, $5k-6k+2 - 9=0$ simplifies to $-k-7 = 0$. She combined $5k$ and $-6k$, not $5k$ and $2k$.

Answer:

In Step 1, she correctly distributed $-3$ to the parentheses.