What is a quick way to tell other 8 th graders how to tell if an equation will have one solution, no solution, or infinite solutions? explain how you know and why the equation will have the solution(s) that it doe

see below

Step-by-step explanation:

We can check the slope and the y intercept.

Assuming these are linear equations

If the slopes are different, they will have 1 point of intersection  (one solution)

If the slopes are the same, we need to check the y intercept.

If the y intercept is the same, then the lines are the same  and the will have infinite solutions.

If the y intercepts are not the same, the lines are parallel, and they will never intersect and have no solutions.

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.