The Answer is x= - 3 , y = -4
Solution:
Solve the following system:
{5 x + 3 y = -27 | (equation 1)
{2 y - 9 x = 19 | (equation 2)
Swap equation 1 with equation 2:
{-(9 x) + 2 y = 19 | (equation 1)
{5 x + 3 y = -27 | (equation 2)
Add 5/9 × (equation 1) to equation 2:
{-(9 x) + 2 y = 19 | (equation 1)
{0 x+(37 y)/9 = (-148)/9 | (equation 2)
Multiply equation 2 by 9/37:
{-(9 x) + 2 y = 19 | (equation 1)
{0 x+y = -4 | (equation 2)
Subtract 2 × (equation 2) from equation 1:
{-(9 x)+0 y = 27 | (equation 1)
{0 x+y = -4 | (equation 2)
Divide equation 1 by -9:
{x+0 y = -3 | (equation 1)
{0 x+y = -4 | (equation 2)
Collect results:
Answer: {x = -3 {y = -4
Note the Solve the following system:
{5 x + 3 y = -27 | (equation 1)
{2 y - 9 x = 19 | (equation 2)
Swap equation 1 with equation 2:
{-(9 x) + 2 y = 19 | (equation 1)
{5 x + 3 y = -27 | (equation 2)
Add 5/9 × (equation 1) to equation 2:
{-(9 x) + 2 y = 19 | (equation 1)
{0 x+(37 y)/9 = (-148)/9 | (equation 2)
Multiply equation 2 by 9/37:
{-(9 x) + 2 y = 19 | (equation 1)
{0 x+y = -4 | (equation 2)
Subtract 2 × (equation 2) from equation 1:
{-(9 x)+0 y = 27 | (equation 1)
{0 x+y = -4 | (equation 2)
Divide equation 1 by -9:
{x+0 y = -3 | (equation 1)
{0 x+y = -4 | (equation 2)
Collect results:
Answer: {x = -3 {y = -4
Please note that the brackets are supposed to span over both eqations, haven found a way to mak it work with this editor. See attachemtn.
