SOLUTION: 1. 3x - y = 0 4x + 2y = 1 2. 8x + 4y = 2 y = -2x + 1

Algebra ->  Systems-of-equations -> SOLUTION: 1. 3x - y = 0 4x + 2y = 1 2. 8x + 4y = 2 y = -2x + 1       Log On


   

Question 256370: 1. 3x - y = 0
4x + 2y = 1
2. 8x + 4y = 2
y = -2x + 1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.+3x+-+y+=+0
2.4x+%2B+2y+=+1+
Multiply eq. 1 by 2 and add to eq. 2.
6x-2y%2B4x%2B2y=0%2B1
10x=1
x=1%2F10
From eq. 1,
3%281%2F10%29-y=0
y=3%2F10
.
.
.
3. 8x+%2B+4y+=+2
4.++y+=+-2x+%2B+1
Substitute for y in eq. 3 using eq. 4,
8x+%2B+4y+=+2
8x+%2B+4%28-2x%2B1%29+=+2
8x-8x%2B4=2
4=2
Inconsistent results means the two lines are parallel, no solution.