SOLUTION: Find the point of intersection of the two line 2x+y=5 and y=x-1 please breakdown

Question 992346: Find the point of intersection of the two line 2x+y=5 and y=x-1 please breakdown
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
y = x - 1
2x + y = 5
solve second equation for y
y = -2x + 5
now set the two equations equal to each other
x - 1 = -2x + 5
add 2x to both sides of =
3x -1 = 5
add 1 to both sides of =
3x = 6
x = 2
substitute for x in first equation
y = 2 -1 = 1
**********************************************
solution is x = 2 and y = 1
**********************************************
check solution in second equation
4 + 1 = 5
5 = 5
our answer checks
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