Question 865384:  I need to solve for both x and y
 
x+y=20 x=y-4 
 Answer by jim_thompson5910(35256)      (Show Source): 
You can  put this solution on YOUR website! x+y=20 ... Start with the first equation.
 
 
 
y-4+y=20 ... Replace x with y-4 (since x = y-4 is the second equation).
 
 
 
Now we solve for y
 
 
 
y-4+y=20
 
 
 
2y-4=20
 
 
 
2y=20+4
 
 
 
2y=24
 
 
 
y=24/2
 
 
 
y = 12
 
 
 
Once we know that y = 12, we plug this into any equation that has x,y in it to solve for x. The easiest to pick on is the one where x is already isolated.
 
 
 
x = y-4
 
 
 
x = 12-4 ... replace y with 12 (since we just found that y = 12)
 
 
 
x = 8
 
 
 
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Final Answer: x = 8, y = 12
 
 
 
The answer as an ordered pair is (8,12). Visually, this is where the two lines intersect. 
 
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