Question

Which property of equality justifies the step for solving the equation that is displayed?%0D%0A%0D%0A3z2−5=10 %0D%0A%0D%0A3z2−5+5=10+5 %0D%0A%0D%0A3z2=15 %0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0AAddition Property of Equality%0D%0AAddition Property of Equality%0D%0A%0D%0ASubtraction Property of Equality%0D%0ASubtraction Property of Equality%0D%0A%0D%0AMultiplication Property of Equality%0D%0AMultiplication Property of Equality%0D%0A%0D%0ADivision Property of Equality

Answer 1

The correct justification for the step in the equation is the **Addition Property of Equality**. This property states that if you add the same number to both sides of an equation, the equality remains true. In this case, adding 5 to both sides of the equation \(3z^2 - 5 = 10\) results in \(3z^2 = 15\).