Question

Part A: Create a system of linear equations with no solution. In two or more complete sentences, explain the specific characteristics that you included in each equation to ensure that the system would not have a solution.
Part B: Using one of the equations that you created in Part A, create a system of linear equations that has one solution (x, y). Use substitution to solve the system.

Answer 1

Part A: In order to make an equation without a solution, all you need to do is this:

$3x + 2 = y$
$3x = y$

This makes the equation impossible, as no number equals itself plus two. 

Part B: This is easier. Literally every random equation should work. 

$y = x+2$
$y = 2x$

Now, use substitution: 

$2x=x+2$

x = 2