Question

Classify the equation as a conditional equation, an identity, or a contradiction:

36(4m+5)=12(12m+15)

a) Conditional equation
b) Identity
c) Contradiction
d) None of the above

Answer 1

After simplifying the equation 36(4m+5)=12(12m+15) to 144m + 180 = 144m + 180, we find that it holds true for all values of m, and thus it is an identity.

Step-by-step explanation:

To classify the equation 36(4m+5)=12(12m+15) as a conditional equation, an identity, or a contradiction, we need to simplify and see if the equation holds true for some value of m, all values of m, or no values of m.

Let's simplify the equation:

• First, distribute the numbers outside the parentheses: 144m + 180 = 144m + 180.
• Then, we see that both sides of the equation have the same terms.
• Since the equation simplifies to an equality that is true for all values of m, it is an identity.

Therefore, the correct classification of the equation is an identity.