Answer: c
This system has no solutions.
Step-by-step explanation:
Solve by substitution:
1) Solve [tex]y=-x+8[/tex] for y:
[tex]y=-x+8[/tex]
2) Substitute [tex]-x+8[/tex] for [tex]y[/tex] in [tex]x+y=7[/tex]:
[tex]x+y=7[/tex]
[tex]x+-x+8=7[/tex]
3) Simplify both sides of the equation:
[tex]8=7[/tex]
4) Add -8 to both sides of the equation:
[tex]8+-8=7+-8[/tex]
5) Simplify both sides of the equation:
[tex]0=-1[/tex]
Therefore, There are no solutions to the system of equations.
Solve by elimination:
You can't solve the system of equations by elimination.
Solve by graphing:
The lines are parallel to each other, Therefore they never cross, so, The system of equations has no solutions.
