CHOOSE A SOLUTION METHOD TO SOLVE THE LINEAR SYSTEM. EXPLAIN YOUR CHOICE, AND THEN SOLVE THE SYSTEM.
3x + 6y=8
-6x + 3y = 2
2006-11-08 14:22:34 · 4 answers · asked by Majida A 2 in Education & Reference ➔ Homework Help
Multiply equation 1 by 2 so that when adding both equation, the x variable is cancelled,
6x + 12y = 16
-6x + 3y = 2
0 + 15y = 18
y = 6/5
Substituting y in equation1
3x + 36/5 = 8
3x = 4/5
x = 4/15
Therefore x = 4/15 , y = 6/5
2006-11-08 14:29:22 · answer #1 · answered by Naval Architect 5 · 0⤊ 0⤋
choose the addition method.
mutilply the second equation by -2, you get
3x + 6y = 8
12x - 6y = -4
adding the two you get
15x = 4
X=4/15
plug 4/15 into x, either equation will work
3(4/15) + 6y = 8 or 12(4/15) -6y = -4
solving either equation
Y=1.2
2006-11-08 22:38:22 · answer #2 · answered by KEN R 1 · 0⤊ 0⤋
The method to use is "elimination" because it doesn't say "y=somethiong"
3x + 6y=8
-6x + 3y = 2
3x + 6y=8
12x - 6y = -4
15x = 4
x = 4/15
solve for y
3x + 6y=8
3(4/15) + 6y = 8
0.8 + 6y = 8
6y = 8.8
y = 8.8/6
y = 4.4/3
answer: x = 4/15 and y = 4.4/3
I hope it helps
2006-11-08 22:32:54 · answer #3 · answered by doublecap123 1 · 0⤊ 0⤋
It's been a long time since i've done algebra
2006-11-08 22:30:39 · answer #4 · answered by armywifes3lb 3 · 0⤊ 0⤋