Question

23) Consider the sequence of steps to solve the equation:5(x - 3) = 7x/2Step 1 = 10(x - 3) = 7xStep 2 = 10x - 30 = 7xStep 3 = 3x - 30 = Step 4 = 3x = 30Step 5 = X = 10Identify the prope of equality which yields Step 3.

Answer 1

Step 2:

$10x-30=7x$

Step 3: To balance an equation using the same mathematical operation on both sides. In the given case to get all terms with variable x on one side of the equation you use the subtraction property: subtract 7x in both sides of the equation:

$\begin{gathered} 10x-7x-30=7x-7x \\ \\ 3x-30=0 \end{gathered}$

Answer C) subtraction property