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-3x - 1y = -1

3x + 1y = 1

2007-06-13 05:18:26 · 5 answers · asked by Aaron l 1 in Science & Mathematics Mathematics

5 answers

The solution is all points on the line y = -3x + 1, since both equations are the same (the first one is the second one with both sides multipled by -1).

The solution to a system of equations is the set of points where the graphs of the two equations intersect. In this case, both equations define the exact same line, so all points on the line are solutions.

For example, the point (0,1) is a solution to both equations:

-3x - 1y = -1
-3*0 - 1*1 = -1
-1 = -1

3x + 1y = 1
3*0 + 1*1 = 1
1 = 1

And so is the point (-1, 4):

-3x - 1y = -1
-3*(-1) - 1*4 = -1
3 - 4 = -1
-1 = -1

3x + 1y = 1
3*(-1) + 1*4 = 1
-3 + 4 = 1
1 = 1

2007-06-13 05:21:58 · answer #1 · answered by McFate 7 · 0 0

Infinitely many solutions along the line y = -3x + 1

2007-06-13 12:42:55 · answer #2 · answered by C-Wryte 3 · 0 0

both equations are the same.
if you want to plot these equation, use y=mx+b formula.
where m is the slope and b is the y-intercept.
y=-3x+1

your line would have a -3 slope and will intercept at (0,1)

2007-06-13 13:07:07 · answer #3 · answered by Virgilio C 2 · 0 0

You don't need a long explain so here i go
if you times both sides of the first equation you find that both are the same equation after all.

2007-06-13 12:33:23 · answer #4 · answered by cubsmtdew 2 · 0 0

x = -1
y = 4
but i'm guessing there r more answers

2007-06-13 12:32:55 · answer #5 · answered by :kjelseth: 2 · 0 0

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