Question

solve the equation $2y + 4\frac{3}{5} = 0$. explain the steps and properties you used.

which property is the best choice to use to isolate the variable term?
a. subtraction property of equality
b. addition property of equality
c. multiplication property of equality
d. division property of equality

apply the property from the previous step to isolate the variable term.
(simplify your answer. type an equation. use integers or fractions for any numbers in the equation.)

Explanation:

Step1: Identify isolation property

The variable term is $2y$, and we need to remove the constant term $4\frac{3}{5}$ from the left side. The Subtraction Property of Equality states that if $a=b$, then $a-c=b-c$, which is the best choice here.

Step2: Rewrite mixed number

Convert $4\frac{3}{5}$ to an improper fraction:
$4\frac{3}{5}=\frac{4\times5+3}{5}=\frac{23}{5}$

Step3: Apply subtraction property

Subtract $\frac{23}{5}$ from both sides of the original equation $2y + \frac{23}{5}=9$:
$2y + \frac{23}{5} - \frac{23}{5}=9 - \frac{23}{5}$

Step4: Simplify both sides

Calculate the right-hand side: $9=\frac{45}{5}$, so $\frac{45}{5}-\frac{23}{5}=\frac{22}{5}$. The left-hand side simplifies to $2y$.
$2y=\frac{22}{5}$

Answer:

First part (property choice):
A. Subtraction Property of Equality

Second part (isolated variable term equation):
$2y=\frac{22}{5}$