Answer:
For x/4 = 21: multiplication property of equality
For 5x = -35: division property of equality
Explanations:
For the equation:
x / 4 = 21
The property that can be used to solve this equation is multiplication of property of equality.
The multiplication property of equality enables the two sides of an equality to be multiplied by the same number without altering the equality of the equation.
Using this property, both sides of the equation will be multiplied by 4:
(x / 4) * 4 = 21 * 4
x = 84
For the equation:
5x = 35
The property that can be used to solve this equation is division of property of equality.
The division property of equality enables the two sides of an equality to be divided by the same number ( tzero not inclusive) without altering the equality of the equation.
Using this property, both sides of the equation will be divided by 5:
5x / 5 = -35 / 5
x = -7