When solving an equation, Bianca's first step is shown below. Which property justifies Bianca's first step?Original Equation:−2x=−8First Step:x=4division property of equalitysubtraction property of equalityassociative property of additioncommutative property of addition
Q. When solving an equation, Bianca's first step is shown below. Which property justifies Bianca's first step?Original Equation:−2x=−8First Step:x=4division property of equalitysubtraction property of equalityassociative property of additioncommutative property of addition
Transform Equation to x=4: Bianca's original equation is −2x=−8. To solve for x, she needs to isolate the variable on one side of the equation. Her first step is to transform the equation into x=4. To do this, she would divide both sides of the original equation by −2, the coefficient of x.Calculation: (−2x)/(−2)=(−8)/(−2)x=4
Division Property of Equality: By dividing both sides of the equation by −2, Bianca is using the Division Property of Equality, which states that if you divide both sides of an equation by the same nonzero number, the two sides remain equal.No further calculations needed.