SOLUTION: I need help solving this problem: Find all solutions of the given system of equations and check your answer graphically. If the system is dependent, express your answer in term

Algebra ->  Equations -> SOLUTION: I need help solving this problem: Find all solutions of the given system of equations and check your answer graphically. If the system is dependent, express your answer in term      Log On


   



Question 792436: I need help solving this problem:
Find all solutions of the given system of equations and check your answer graphically. If the system is dependent, express your answer in terms of x, where y = y(x).)
x - y = 0
x + y = -46
(x, y) = ?

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
system%28x-y=0%2Cx%2By=-46%29
x-y=0-->y=x
Substituting into x%2By=-46 we get
x%2Bx=-46-->2x=-46-->x=-46%2F2-->x=highlight%28-23%29 and,
since y=x, y=highlight%28-23%29

The graph would be a good check when done on graph paper, but it will not look very informative here.
To graph each line, you need to calculate the coordinates for two points, plot those points, and connect them with a straight line.
The line y=x is obviously the line going through (-30,-30) and (0,0).
The line x%2Bx=-46 obviously passes through (-46,0) and (0,-46).