Ok when I do this problem I get -x + 3= 3-x the choices for the answer are 0,6, All real numbers and no solution, according to the teacher the correct answer is All real numbers, but I don't understand why, to me it should have been o as they both cancel each other out, can you please explain to me how this answer is correct? Thank you, this is in my notes to study for mid term.
2007-03-29 17:32:58 · 3 answers · asked by whattheheck 4 in Science & Mathematics ➔ Mathematics
When they both cancel eachother out, you are left with:
0 = 0.
Which values for x make this statement true? All of them.
Similarly, if you wind up with:
1 = 2
Then you know that there are no such x as can make this statement true.
2007-03-29 17:38:46 · answer #1 · answered by Jimmy A 3 · 1⤊ 0⤋
Think about it. -x + 3 = 3 - x isn't just a solution for the equation, it's a statement about all real numbers. In other words, if you put any real number in place of x, both sides will balance out. So, 0 is a solution, but so is 1, 2, 3, -700, and 8 billion. See?
2007-03-29 17:49:19 · answer #2 · answered by cyndi a 3 · 0⤊ 0⤋
-x+3=13-x-10
-x+3=3-x
-x+x+3=3-x+x
3-3=3-3
0=0
2007-03-29 18:26:22 · answer #3 · answered by Dave aka Spider Monkey 7 · 0⤊ 0⤋