Question

21. Are the following equations conditional equations, identities, or impossible equations?

Answer 1

Answer:

4(2x-3)=8x-12 is identity

3x +5=3x-7 is impossible

Explanation:

A conditional equation is an equation that is true for some values and false for others

an identity equation is an equation that is true no matter what value you plug in

an impossible equation is an equation that has no solutions.

lets first try to solve

4(2x-3)=8x-12

distributive property, distribute the 4

8x-12=8x-12

this is an identity!

now for the second equation

3x+5=3x-7

add 7 to both sides

3x+12=3x

subtract 3x from both sides

12=0

wait a minute. This equation is false. this means it has no solutions. its an impossible equation.

Step-by-step explanation: