Answer: Addition property of equality, Subtraction property of equality, Multiplication property of equality, and Division property of equality.
Step-by-step explanation:
Addition property of equality is adding the same number to both sides of an equation does not change the equation.
a+c=b+c
Example: t-6=13
add 6 both sides of an equation.
t-6+6=13+6
answer: t=19
________________________________________________________
Subtraction property of equality is subtracting the same number from both sides of an equation does not change the equation.
a-c=b-c
11=x+5
switch sides of equation
x+5=11
subtract by 5 both sides of an equation.
x+5-5=11=5
answer: x=6
___________________________________________________________
Multiplication property of equality is multiplying both sides of an equation by the same number does not change the equation.
a*c=b*c
t/5=3
example:
5/1*t/5=3*5
then multiply on the right side.
t=3*5
answer: t=15
______________________________________________________
Division property of equality is dividing both sides of an equation by the same non-zero number does not change the equation.
a/c=b/c for c≠0
10a/10=130/10
divide by 10 both sides of an equation.
10a/10=130/10
simplify.
130/10=13
answer: a=13
_____________________________________________
Hope this helps!
Thanks!
Answer:
The algorithm for solving equations is based on a very important property called the property of equality, which says that whatever is done to one side of the equation must also be done to the other side.
Step-by-step explanation:
Hope this helped!
