-3x + 8y = 17
-6x - y = 17
2007-06-12 03:44:44 · 6 answers · asked by Chamillitary22 1 in Science & Mathematics ➔ Mathematics
Multiply equation 1 by -2:
-2(-3x + 8y) = -2(17)
6x - 16y = -34
Add the equations together:
6x - 16y + (-6x -y) = -34 + (17)
-17y = -17
y = 1
Plug back in to find x:
-6x - 1 = 17
-6x = 18
x = -3
2007-06-12 03:49:10 · answer #1 · answered by yeeeehaw 5 · 0⤊ 0⤋
Since they are both equal to 17, set the equations equal to each other:
-3x + 8y = -6x - y
combine like terms to get x = -3y
Insert that into one of the equations: -3(-3y) + 8y=17
9y + 8y =17 => 17y = 17 => y = 1.
Inset that into equation (x = -3y) to get x = -3.
2007-06-12 10:54:56 · answer #2 · answered by Brad K 3 · 0⤊ 0⤋
-2(-3x + 8y = 17)
-6x - y = 17
6x -16y = -34
-17y = -17
y = 1
-6x -y = 17
-6x-1 = 17
-6x = 18
x = -3
(-3,1)
2007-06-12 10:48:22 · answer #3 · answered by whatcanmaxdo4u?everythingupscant 3 · 0⤊ 0⤋
If you multiply the top equation by (-2), you get the following set of equations:
6x - 16y = -34
-6x - y = 17
Now, just add them and you get:
-17y = -17
This give you y = 1.
Now plug this back into one of the equations to get x = -3.
2007-06-12 10:50:55 · answer #4 · answered by Math Stud 3 · 0⤊ 0⤋
6x - 16y = - 34
-6x - y = 17--------ADD
- 17 y = - 17
y = 1
-6x - 1 = 17
- 6x = 18
x = - 3
SOLUTION is x = - 3 , y = 1
2007-06-12 11:05:01 · answer #5 · answered by Como 7 · 0⤊ 0⤋
x = -3
y = 1
2007-06-12 10:52:58 · answer #6 · answered by raja 2 · 0⤊ 0⤋