SOLUTION: please help these are due today. solve by substitution. 5x-2y=-5 y-5x=3 4x-12y=5 -x+3y=-1

Question 81413: please help these are due today.
solve by substitution.
5x-2y=-5
y-5x=3

4x-12y=5
-x+3y=-1
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
solve by substitution.
5x-2y=-5
y-5x=3
------
Substitute into the 1st equation to get:
5x-2(5x+3)=-5
-5x=1
x=-1/5
---
Substitute that into y-5x=3 to solve for y:
y-5(-1/5)=3
y+1=3
y=2
Solution: x=-1/5, y=2
=============================
4x-12y=5
-x+3y=-1
--------
solve 2nd equation for x to get:
x=3y+1
Substitute into the 1st equation to get:
4(3y+1)-12y=5
12y+4-12y=5
4=5
-------
This is a contradiction.
The system in "inconsistent"
There is no solution.
===================
Cheers,
Stan H.

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