SOLUTION: Eliminate {6X-2y =11 {-9X+3y=16

Algebra.Com
Question 1016099: Eliminate
{6X-2y =11
{-9X+3y=16
Found 2 solutions by ikleyn, lwsshak3:
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
Eliminate
{6X-2y =11
{-9X+3y=16
------------------------------- 

 6x - 2y = 11   (1)
-9x + 3y = 16   (2)

Multiply equation (1) by 3 and equation (2) by 2. Then add. 

In this way you eliminate y and obtain a single equation for x:

18x - 18x = 3*11 - 2*16,

0x = 1.

The last equation has no solution.
Hence, the original system has no solution, too.
This system is inconsistent.


You may discover it from the very beginning, just before I started these transformations.


Indeed, left sides of the original equations are proportional.
But the right sides are not proportional with the same coefficient of proportionality.
It just indicates that the system is inconsisted.


Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Eliminate
{6X-2y =11
{-9X+3y=16
18x-6y=33
-18x+6y=32
add
0≠65
no solution
RELATED QUESTIONS

6x-4y=16 9x-6y=24 eliminate... (answered by checkley79)
6x-2y=2... (answered by venugopalramana)
6x-2y=2,... (answered by mananth)
Solve each system by elimination 6x-2y=11 -9+3y=16 (answered by checkley77)
Solve by elimination: 1.8x + 11y= 20 5x - 11y= -59 2. 2x + 18y= -9 4x + 18y= -27 (answered by jim_thompson5910)
6x-2y=11 x+3y=4 solve using... (answered by jim_thompson5910,checkley71)
{{{ 18xy^2-6x^2y+9x^3y^3 divided by 3x^2y... (answered by Alan3354)
2y=3x+16 2x=+3y=11 (answered by Alan3354)
I have to eliminate using multiplication. How would I solve these two problems?... (answered by apachemexican1)