Q:

Which of the following represents the solution ofolution ofheINx=OOall real numbersno solution

Accepted Solution

A:
No solutionExplanation:You haven't provide any system of equations, but I'm going to help you in a general way. Suppose you have the following system of linear equations in two variables:[tex]\left \{ {{x+y=1} \atop {2x+2y=4}} \right.[/tex]Dividing second equation by 2:[tex]\frac{2x+2y}{2}=\frac{4}{2} \\ \\ x+y=2[/tex]Writing equation 1 and 2 in slope intercept form:[tex]y=mx+b \\ \\ m:slope \\ \\ b:y-intercept \\ \\ \\ \left \{ {{x+y=1} \atop {x+y=2}} \right. \\ \\ \\ \left \{ {{y=-x+1} \atop {y=-x+2}} \right.[/tex]As you can see, rearranging both equations we realize they have the same slope [tex]m=-1[/tex] and different y-intercept, hence they are parallel lines and there is no any solution.Learn more:Methods for solving system of linear equations: