Solve the system of equations using addition (elimnation) method. If the answer is a unique solution, present it as an ordered pair (x,y) If not, specify whether the answer is "no solution" or Infiniely many solutions"
3x - 11y = 9
-9x + 33y + 18
2007-12-27 15:52:53 · 6 answers · asked by Maggie L 1 in Science & Mathematics ➔ Mathematics
this are two parallel lines, so they never cross
the answer is "no solution"
2007-12-27 15:58:02 · answer #1 · answered by norman 7 · 1⤊ 0⤋
Let's assume the 2nd expression is -9x + 33 = 18. Multiplying equation (1) by 3 gives:
9x - 33y = 27
Add to (2) and you get:
0 = 45
No solutions.
2007-12-28 01:26:38 · answer #2 · answered by Zippy 1 · 0⤊ 0⤋
3x = 11y + 9
x = (11/3)y + 3
-9x + 33y = 18
-9[(11/3)y+3] + 33y = 18
-33y - 27 + 33y =?= 18
not true hence, no solution
2007-12-28 00:02:36 · answer #3 · answered by kellenraid 6 · 0⤊ 0⤋
Values of y:
3x - 11y = 9
11y = 3x - 9
y = (3x - 9)/11
- 9x + 33y = 18
- 3x + 11y = 6
11y = 3x + 6
y = (3x + 6)/11
Value of x:
(3x - 9)/11 = (3x + 6)/11
3x - 9 = 3x + 6
There is no definite solution to this problem.
2007-12-28 02:10:26 · answer #4 · answered by Jun Agruda 7 · 3⤊ 0⤋
Are you sure you typed them correctly? The second is not an equation - as there is no equal sign. To solve for two unknowns, you need two equations. Please check the original question.
2007-12-28 00:13:52 · answer #5 · answered by SongDuck 3 · 0⤊ 0⤋
no = sign on second one?
2007-12-28 00:23:04 · answer #6 · answered by ViewtifulJoe 4 · 0⤊ 0⤋