Solve equation by the addition method. Determine whether the equation is independent,
dependent, or inconsistent.
-3x + 2y = 8
3x + 2y = 8
Answer: 4y=16
dependent
2007-01-14 01:24:30 · 10 answers · asked by salarian2001 2 in Science & Mathematics ➔ Mathematics
First: Add the equations...
0x + 4y = 16
4y = 16
*Solve for "y" by isolating it on one side - divide both sides by 4...
4y/4 = 16/4
y = 4
Sec: replace 4 with "y" in either equation, let's replace 4 in the 2nd equation...
3x + 2(4) = 8
3x + 8 = 8
*Subtract 8 from both sides...
3x + 8 - 8 = 8 - 8
3x = 0
*Divide both sides by 3...
3x/x = 0/3
x = 0
(0, 4)
2007-01-14 04:13:47 · answer #1 · answered by ♪♥Annie♥♪ 6 · 0⤊ 0⤋
The equations are inconsistent because the slopes are different. It doesn't matter that the y-intercepts are the same. It just happens for this system of equations that the solution is the point (0,4). Your answer doesn't really make sense to me because it's not finished. The solution for a system is a point. Once you solve for y you must plug it in to solve for x.
A dependent system of equations are equations that graph as the same line. Independent systems of equations are equations that graph as parallel lines.
The ACT loves these systems; where you're asked to identify the parallel or perpendicular lines..you're not expected to actually solve anything...just identify the slope and y-intercept and know the definition.
2007-01-14 01:51:55 · answer #2 · answered by marathon26m 1 · 0⤊ 0⤋
you aren't even half done.
to continue y=16/4
y=4
Now you know y, you need to substitute in y to either one of the two original equations to find x.
I'll use the second equation because it's positive.
3x + 2y = 8
3x + 2(4) = 8
3x + 8 = 8
3x = 8 - 8
3x = 0
x = 0/3
x=0
So your two points for the solution are (0,4).
As for the other part of the question, I believe they are inconsistent because one has a positive slope and the other has a negative slope...
2007-01-14 01:54:25 · answer #3 · answered by Matt S 2 · 1⤊ 0⤋
These equations are consistent and independent..
These equations has one solution, The coincidence occurs on the y-intercept, when x = 0, y = 4
- - - - - - -s-
2007-01-14 02:29:27 · answer #4 · answered by SAMUEL D 7 · 0⤊ 0⤋
Go to this page:
http://www.mathnstuff.com/math/algebra/asyssol.htm
Here you can solve the set and understand the process.
The system is independant, and has only one solution.
2007-01-14 01:47:56 · answer #5 · answered by Beth 1 · 0⤊ 0⤋
-3x + 2y = 3x + 2y
which gives
-3x-3x = 2y-2y
which is equal with
-6x = 0y = 0
and gives an answer
x = 0
2007-01-14 01:33:35 · answer #6 · answered by silberstein_9 3 · 0⤊ 1⤋
hi Lola, As sweet saj3a advised you the most important fulfillment is mind transplant do not waste time posting those stupid questions of yours and bypass have one. Love Ms Miche ..))-
2016-10-17 01:20:02 · answer #7 · answered by Anonymous · 0⤊ 0⤋
Equations r inconsistant / contradictory.
2007-01-14 01:36:02 · answer #8 · answered by muzzash 2 · 0⤊ 2⤋
independent
2007-01-14 01:35:04 · answer #9 · answered by josephkc k 1 · 1⤊ 0⤋
the question is not correct
no such equations are possible
2007-01-14 01:28:48 · answer #10 · answered by SAI H 2 · 0⤊ 2⤋