SOLUTION: Please solve the equation using the elimination method. y = (1/2)x - 3 y = (3/2)x - 1 Thank you.

Algebra ->  Expressions-with-variables -> SOLUTION: Please solve the equation using the elimination method. y = (1/2)x - 3 y = (3/2)x - 1 Thank you.      Log On


   

Question 1154829: Please solve the equation using the elimination method.

y = (1/2)x - 3
y = (3/2)x - 1

Thank you.
Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Please solve the equation using the elimination method.

y = (1/2)x - 3
y = (3/2)x - 1
===============
I did this one a few days ago.
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y = (1/2)x - 3
y = (3/2)x - 1
---------------------------- Subtract to eliminate y
==============
Or, since both right hand sides = y:
---
(1/2)x - 3 = (3/2)x - 1

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
y+=+%281%2F2%29x+-+3.....eq.1
y+=+%283%2F2%29x+-+1.....eq.2
---------------------------------subtract eq.2 from eq.1 to eliminate y
y-y+=+%281%2F2%29x+-+3-%28%283%2F2%29x+-+1%29
0=+%281%2F2%29x+-+3-%283%2F2%29x+%2B1
0=+%281%2F2%29x+-%283%2F2%29x-+2+
0=+-%282%2F2%29x-+2+
0=+-x-+2+
0%2Bx=+x-x-+2+
x=-+2+
go to
y+=+%281%2F2%29x+-+3.....eq.1, substitute x
y+=+%281%2F2%29%28-2%29+-+3
y+=+-2%2F2+-+3
y+=+-1+-+3
y+=+-4

solution:
x=-+2+
y+=+-4