Question

solve the equation $2y + 4\frac{3}{5}= 9$. 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.\
$2y = \frac{22}{5}$\
(simplify your answer. type an equation. use integers or fractions for any numbers in the equation.)\
what property is the best choice to use to isolate the variable in the equation found in the previous step?\
a. subtraction property of equality\
b. multiplication property of equality\
c. addition property of equality\
d. division property of equality

Explanation:

Step1: Convert mixed number to fraction

$4\frac{3}{5} = \frac{4\times5 + 3}{5} = \frac{23}{5}$
Equation becomes: $2y + \frac{23}{5} = 9$

Step2: Isolate variable term (subtract)

Use Subtraction Property of Equality: subtract $\frac{23}{5}$ from both sides.
$2y = 9 - \frac{23}{5} = \frac{45}{5} - \frac{23}{5} = \frac{22}{5}$

Step3: Choose property for variable isolation

To isolate $y$ from $2y=\frac{22}{5}$, use Division Property of Equality (divide by 2 on both sides).

Step4: Solve for y

$y = \frac{22}{5} \div 2 = \frac{22}{5} \times \frac{1}{2} = \frac{11}{5}$

Answer:

1. Best property to isolate variable term: A. Subtraction Property of Equality
2. Isolated variable term equation: $2y = \frac{22}{5}$
3. Best property to isolate variable: D. Division Property of Equality
4. Final solution for the equation: $y = \frac{11}{5}$