SOLUTION: Question write a system of linear equations that has no solution my work x+y=8 -x-y=-8

Question 562838: Question
write a system of linear equations that has no solution

my work
x+y=8
-x-y=-8

Answer by issacodegard(60) (Show Source): You can put this solution on YOUR website!
Hi, the system you gave has infinitely many solutions (any choice of x and y works). Here is a system with no solutions,
x+y=8
-x-y=-7
Proof:
Suppose there exists a solution pair, call it x,y. Then the equations are satisfied i.e. x+y=8 and -x-y=-7. Add the equations to get 0=1. But this can't be true, so there is no solution pair to the system by contradiction.
RELATED QUESTIONS
use substitution method to determine whether the system of linear equations has no... (answered by mananth)

Solve the system of equations. If the system has no solution, say that it is... (answered by Fombitz)

Solve the following system of linear equations by graphing. (If the system has no... (answered by Alan3354)

solve the system of equations using matrices( row operations). if the system has no... (answered by stanbon)

Solve the following system of linear equations by graphing. (If the system has no... (answered by sudhanshu_kmr)

Given that the augmented matrix in row-reduced form below is equivalent to the augmented... (answered by robertb)

Find (if possible) values that the system of linear equations has (1) no solution, (2)... (answered by math_tutor2020)