What is the difference between an equation with no solution and an equation with a infinitely many solutions? Please give an example in your response.
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No solution would mean that there isn't an answer to the equation. it would be impossible for the equation to be true. Infinite/many solutions means that any value for the variable would make the equation true.

Example:

No solution:

0 = 0, x = x

2x + 4y= 8

x + 2y = 4

Many solutions:

2 = 5

3x + 2y = 5

6x + 4y = 8

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b