Name the property of equality that justifies the statement: if p=q, then q=p
2 answers:
Answer:
Symmetric property of equality
Step-by-step explanation:
Symmetric property of equality states that:
if a = b
then;
b = a
For example:
if 7 = x+y
then:
x+y =7
As per the statement:
if
by symmetric property of equality,
Therefore, Symmetric property of equality that justifies the statement: if p=q, then q=p
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Answer:
The ordered pair is indeed a solution to the system:
.
Step-by-step explanation:
Consider a system of equations about variables and
. An ordered pair
(where
and
are constant) is a solution to that system if and only if all equations in that system hold after substituting in
and
.
For the system in this question, would be a solution only if both equations in the system hold after replacing all
in equations of the system with
and all
with
.
The of the equation
would become
. The
of that equation would become
. The two sides are indeed equal.
Similarly, the of the equation
would become
. The
of that equation would become
. The two sides are indeed equal.
Thus, and
simultaneously satisfy both equations of the given system. Therefore, the ordered pair
would indeed be a solution to that system.