Respuestas
Respuesta:
x = 20/117, y = -15/13
Explicación
Solve the following system:
{3 y - 9 x = -5 | (equation 1)
-5 y - 63 x = -5 | (equation 2)
Swap equation 1 with equation 2:
{-(63 x) - 5 y = -5 | (equation 1)
-(9 x) + 3 y = -5 | (equation 2)
Subtract 1/7 × (equation 1) from equation 2:
{-(63 x) - 5 y = -5 | (equation 1)
0 x+(26 y)/7 = (-30)/7 | (equation 2)
Multiply equation 1 by -1:
{63 x + 5 y = 5 | (equation 1)
0 x+(26 y)/7 = -30/7 | (equation 2)
Multiply equation 2 by 7/2:
{63 x + 5 y = 5 | (equation 1)
0 x+13 y = -15 | (equation 2)
Divide equation 2 by 13:
{63 x + 5 y = 5 | (equation 1)
0 x+y = (-15)/13 | (equation 2)
Subtract 5 × (equation 2) from equation 1:
{63 x+0 y = 140/13 | (equation 1)
0 x+y = -15/13 | (equation 2)
Divide equation 1 by 63:
{x+0 y = 20/117 | (equation 1)
0 x+y = -15/13 | (equation 2)
Collect results:
Answer: |
| {x = 20/117
y = -15/13