SOLUTION: Is this system of equations consistent? So far everything I came up with says it is not. Please help?
x + 3y = 32
-3x + 2y = 8
Algebra ->
Systems-of-equations
-> SOLUTION: Is this system of equations consistent? So far everything I came up with says it is not. Please help?
x + 3y = 32
-3x + 2y = 8
Log On
You can put this solution on YOUR website! x + 3y = 32
-3x + 2y = 8
..
3x+9y=96
-3x+2y=8
11y=104
y=104/11
..
x=32-3y
x=32-3*104/11
x=32-312/11
x=352/11-312/11
x=40/11
Point of intersection: (40/11,104/11)
System has one solution
Therefore, system is consistent
You can put this solution on YOUR website! 1 x + 3 y = 32 .............1
-3 x + 2 y = 8 .............2
Eliminate y
multiply (1)by -2
Multiply (2) by 3
-2 x -6 y = -64
-9 x + 6 y = 24
Add the two equations
-11 x = -40.00
/ -11
x = 40/11
plug value of x in (1)
1 x + 3 y = 32
3.64 + 3 y = 32
3 y = 28.36 -27
1 y = 9.45
y = 104/11
The system has one solution
(