solve the system of equations by graphing

Question

solve the system of equations by graphing

x=-y

x+y=2

what is the solution of the system of equations. select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a)__(type an ordered pair)

b) the system of equations has infinitely many solutions

c) the system of equations has no solutions

Answer 1

Solve both of you equations for y:

 

y = -x

y = -x +2

 

Even without graphing, you can that these equations have the same slope (-1) and dissimilar y-intercepts (0 and 2). Therefore these lines are different parrellel lines, so they will never cross. ever. So we have no solutions for this system of equations.