SOLUTION: im trying to do a project and i need help on solving a problem and explaining how it was done. my eqation is "2x-y=2" and "3x-2y=11"

Algebra ->  Linear-equations -> SOLUTION: im trying to do a project and i need help on solving a problem and explaining how it was done. my eqation is "2x-y=2" and "3x-2y=11"      Log On


   



Question 807510: im trying to do a project and i need help on solving a problem and explaining how it was done. my eqation is "2x-y=2" and "3x-2y=11"
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
What you have is 2 linear equations.
That means that you've got a +y+
and an +x+ and not a +y+ and
an +x%5E2+ or +x%5E3+
-------------------------
A linear equation just means that the plot
is a straight line. Two equations are called
a system, and teh solution will be a
point ( x,y ) that satisfies both equations
-----------------------------------
+2x+-+y+=+2+
+3x+-+2y+=+11+
-----------------
Multiply both sides of (1) by +2+ and
subtract (1) from (2)
+3x+-+2y+=+11+
+-4x+%2B+2y+=+-4+
+-x+=+7+
+x+=+-7+
Now plug this result back into either
equation to find +y+
+2x+-+y+=+2+
+2%2A%28-7%29+-+y+=+2+
+-14+-+y+=+2+
+-y+=+14+%2B+2+
+-y+=+16+
+y+=+-16+
-------------
So, the solution is ( -7 ,-16 )
Here a plot of both lines showing the
intersection at ( -7, -16 )
+graph%28+400%2C+400%2C+-10%2C+10%2C+-30%2C+6%2C+2x+-+2%2C+%283%2F2%29%2Ax+-+11%2F2+%29+