Question

tonya's fist step in solving the equation 1/2(2y + 4) = -6 is to use the Disruptive Property on the left side of the equation. Deon's first step is to multiply eah side by 2. Which of these methods will result in an equivalent equation?

Answer 1

Using the distributive property on the left side of the equation results in an equivalent equation.

Answer 2

The given equation is

`(1)/(2)* (2y+4)= -6`

Tonya's first step

Use Distributive property, which states that

`\rightarrow a* (b \pm c)=a * b \pm a * c\\\\\rightarrow (1)/(2) * 2y+ (1)/(2) * 4=-6\\\\\rightarrow y+2=-6\\\\\rightarrow y=-8`

Deon's first step

Multiply both sides by 2

`\rightarrow 2 * [(1)/(2)* (2y+4)]=2 * (-6)\\\\ \rightarrow 2 y+4=-12\\\\\rightarrow 2y= -12-4\\\\\rightarrow 2y= -16\\\\\rightarrow y= -8`

Both of these methods that is Method adopted by Tonya or Deon will result in an equivalent equation.