SOLUTION: Solve and determined the graph of linear equation of lines -2x+y= 2 and x+5= 1, and find the intersection point

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Question 1188757: Solve and determined the graph of linear equation of lines -2x+y= 2 and x+5= 1, and find the intersection point
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
first equation is -2x + y = 2
second equation is x + 5 = 1
subtract 5 from both sides of the second equation and leave the first equation as is to get:
-2x + y = 2
x = -4
replace x with -4 in the first equation to get:
-2*-4 + y = 2
simp;lify to get:
8 + y = 2
subtract 8 from both sides of the equation to get:
y = 2 - 8
solve for y to get:
y = -6

you have x = -4 and y = -6.
replace the origijnal 2 equations with those values to see if they hold true.
-2x + y = 2 becomes -2 * -4 - 6 = 2 which becomes 2 = 2.
x + 5 = 1 becomes -4 + 5 = 1 which becomes 1 = 1.
both equations are true.
solution is good.
solution is that x = -4 and y = -6.

here's the graph.