alright it says:
Tell whether the system has no solution or infinitely many solutions.
1) y=-2x+1 and y=-2x-3
2) x+2y=10 and 2x+4y=10
3) y=3x+4 and -12x+4y=16
4) y=2x+6 and 4x-2y=8
2007-09-17 09:55:29 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
of course its not your job to do all of them..just the ones you know please cause I ammm likeee confused.
2007-09-17 09:56:15 · update #1
1) the slopes are the same; however, the y-intercepts are different, therefore it is no solution.
2) the slopes are both -.5; however, the y-intercepts are different (one is 10 and the other is 5). This means that the solution set is no solution.
3) the slopes of these 2 equations are also the same (3). Also the y-intercepts are the same, therefore the solution set is infinitely many.
4) the slopes are the same ( 2), but the y-intercepts are different (one is 6 while the other is -4). Therefore there are no solutions.
The ones without solutions are because the 2 lines never intersect, while the ones that are infinitely many, are the same line.
2007-09-17 10:07:53 · answer #1 · answered by sayamiam 6 · 0⤊ 0⤋
I don't understand the question. it is asking you to find the domain or range? what are the other questions like in this chapter because this isn't making any since to me. I honesty have not seen something like this before.
as long as there are no square roots or fractions, then they are all real numbers, meaning you could put any number in for x or y and get a solution.
2007-09-17 17:04:03 · answer #2 · answered by c_greiff 3 · 0⤊ 1⤋
1) infinite solutions
2) infinite solutions
they are all infinite solutions, x and y can be anything and become any answer, there isn't just one answer...
2007-09-17 17:01:27 · answer #3 · answered by tou2yaj 2 · 0⤊ 1⤋