Question

consider the sequence of steps to solve the equation:
$5(x - 3) = \frac{7x}{2}$

step 1 $\
ightarrow 10(x - 3) = 7x$
step 2 $\
ightarrow 10x - 30 = 7x$
step 3 $\
ightarrow 3x - 30 = 0$
step 4 $\
ightarrow 3x = 30$
step 5 $\
ightarrow x = 10$

identify the property of equality which yields step 3.
a division property
b addition property
c subtraction property
d multiplication property

Explanation:

Step 2 is $10x - 30 = 7x$. To get Step 3 ($3x - 30 = 0$), we subtract $7x$ from both sides of the equation. This action follows the Subtraction Property of Equality, which states that if you subtract the same value from both sides of an equation, the equality still holds.

Answer:

C. Subtraction Property