Which property of equality justifies the step for solving the equation that is displayed?

3z2−5=10

3z2−5+5=10+5

3z2=15

The property of equality that justifies the step in solving the equation is the addition property of equality.

Which property of equality justifies the step for solving the equation that is displayed?

(3z)/(2)-5=10

(3z)/(2)-5+5=10+5

(3z)/(2)=15

Multiplication Property of Equality

Subtraction Property of Equality

Addition Property of Equality

Division Property of Equality

The addition property of equality justifies the step for solving the equation.

How many solutions will the equation 2/3(6m+9)−6=4m have

one solution

two solutions

infinite/many solutions

no solution

The equation 2/3(6m+9)−6=4m will have one solution.

The property of equality that justifies the step for solving the equation is the addition property of equality. According to this property, if you add the same value to both sides of an equation, the equality is maintained.

The property of equality that justifies the step for solving the equation is the Addition Property of Equality.

To solve the equation 3z^2 - 5 = 10, the goal is to isolate the variable "z".

In this step, by adding 5 to both sides of the equation, we apply the Addition Property of Equality, which states that if you add the same number to both sides of an equation, the equality still holds true.

By adding 5 to both sides, we eliminate the -5 term on the left side, resulting in:

3z^2 - 5 + 5 = 10 + 5

Simplifying further, we get:

3z^2 = 15

Now, the equation is in a simplified form, and you can continue solving for "z" using other algebraic techniques.