Answer:
No solutions: 7−5+3x−1= 3x + 7
One solution: 7−5+3x−1= 2x + 4
Infinitely Many Solutions 7−5+3x−1= 3x + 1
Step-by-step explanation:
No solutions means it results in no x and a false statement like 3 = 0.
One solution means it results in x = a number.
Infinite solutions means its results in no x and in a true statement like 3=3.
- So to get No solutions: 7−5+3x−1= 3x + 7
This will eliminate the x and result in 1 = 7 which is false.
- One solution: 7−5+3x−1= 2x + 4
This will result in x= 3
- Infinitely Many Solutions 7−5+3x−1= 3x + 1
This will eliminate the x and result in 1 = 1 which is true.
{x+2y+2z=0
{2x+y+z=3
{x-3y-z=1
{x+2y+2z=0
-
{4x+2y+2z=6
{-3x=-6 → x=2
{-3y-z=-1
+
{y+z=-1
{-2y=-2 → y=1
{2+2+2z=0 → 2z=-4 → z=-2
Final triple is
(2; 1; -2)
(-3,2) (0,0) i think. it’s been a whole
