SOLUTION: what is the soulution for x in this system of equations x+y=6 and 2x-y=9 i got negative five and wasnt sure it was correct

Question 124036: what is the soulution for x in this system of equations x+y=6 and 2x-y=9 i got negative five and wasnt sure it was correct
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
what is the solution for x in this system of equations x+y=6 and 2x-y=9 i got negative five and wasn't sure it was correct
:
I think it should be +5:
Use the 1st equation for substitution in the 2nd equation:
x + y = 6
y = (6-x)
:
2x - y = 9
;
substitute (6-x) for y
2x - (6 - x) = 9
:
2x - 6 + x = 9; removing the brackets changes the sign when there - outside
:
3x = 9 + 6; added 6 to both sides:
:
x =
x = +5
:
:
WE can prove it. Find y using the equation y = 6 - x; substitute 5 for x
y = 6 - 5
y = 1
:
Substitute 5 for x and 1 for y in the 2nd the equation
2x - y = 9
2(5) - 1 = 9; confirms our solution
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