drag justifications into the table to explain each step in solving the equation 8x = 16.\n| step |…

drag justifications into the table to explain each step in solving the equation 8x = 16.\n| step | justification |\n| ---- | ---- |\n| 8x = 16 | given |\n| $\frac{1}{8}(8x)=\frac{1}{8}(16)$ | |\n| $1x=\frac{1}{8}(16)$ | |\n| $1x = 2$ | |\n| $x = 2$ | |\ndistributive property\naddition property of equality\nmultiplicative identity property\nadditive inverse property\nmultiplication property of equality\naddition of real numbers\nmultiplicative inverse property\nadditive identity property\nmultiplication of real numbers

drag justifications into the table to explain each step in solving the equation 8x = 16.\n| step | justification |\n| ---- | ---- |\n| 8x = 16 | given |\n| $\frac{1}{8}(8x)=\frac{1}{8}(16)$ | |\n| $1x=\frac{1}{8}(16)$ | |\n| $1x = 2$ | |\n| $x = 2$ | |\ndistributive property\naddition property of equality\nmultiplicative identity property\nadditive inverse property\nmultiplication property of equality\naddition of real numbers\nmultiplicative inverse property\nadditive identity property\nmultiplication of real numbers

Answer

Explanation:

Step1: Multiply both sides by 1/8

$\frac{1}{8}(8x)=\frac{1}{8}(16)$ (Multiplication Property of Equality)

Step2: Simplify left - hand side

$1x=\frac{1}{8}(16)$ (Multiplicative Inverse Property: $\frac{1}{8}\times8 = 1$)

Step3: Calculate right - hand side

$1x = 2$ (Multiplication of Real Numbers: $\frac{1}{8}\times16=2$)

Step4: Simplify

$x = 2$ (Multiplicative Identity Property: $1x=x$)

Answer:

Step Justification
$8x = 16$ Given
$\frac{1}{8}(8x)=\frac{1}{8}(16)$ Multiplication Property of Equality
$1x=\frac{1}{8}(16)$ Multiplicative Inverse Property
$1x = 2$ Multiplication of Real Numbers
$x = 2$ Multiplicative Identity Property