SOLUTION: Find the point of intersection of the lines 3x+5y=-11 x-2y=11 ---------- 3x+5y=-11 -3(x-2y=11 ---------- 3x+5y=-11 -3x+6y=-33 ---------- -y=22 x-2y=11 x-2(22)=11 x-4

Algebra ->  Linear-equations -> SOLUTION: Find the point of intersection of the lines 3x+5y=-11 x-2y=11 ---------- 3x+5y=-11 -3(x-2y=11 ---------- 3x+5y=-11 -3x+6y=-33 ---------- -y=22 x-2y=11 x-2(22)=11 x-4      Log On


   

Question 1200484: Find the point of intersection of the lines
3x+5y=-11
x-2y=11
----------
3x+5y=-11
-3(x-2y=11
----------
3x+5y=-11
-3x+6y=-33
----------
-y=22
x-2y=11
x-2(22)=11
x-44=11
x=55
Is the answer really (55,22)?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Your other one was answered very thoroughly. You should be able now to solve this one here and confirm for yourself.

Review your steps!
3x+5y=-11
x-2y=11
----------
3x+5y=-11
-3(x-2y=11
----------
3x+5y=-11
-3x+6y=-33
----------
-y=22 ************************this is a mistake.

If you ADD the two equations, then
%283x%2B5y%29%2B%28-3x%2B6y%29=-11%2B%28-33%29
11y=-44
y=-4------and you can find the x value however way you want.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

To check if (55,22) is the solution to the original equations,
substitute x= 55, y= 22 into the original equations.


Then the left side of the 1st equation is

    3*55 + 5*22 = 275.


Is it equal to -11 ?   -  No.


Hence, what ? - Hence, (55,22) is not the solution.

I answered your question.