Answer:
No, x = -12/23
, y = -14/23
Step-by-step explanation:
Solve the following system:
{-3 x - 4 y = 4 | (equation 1)
y - 5 x = 2 | (equation 2)
Swap equation 1 with equation 2:
{-(5 x) + y = 2 | (equation 1)
-(3 x) - 4 y = 4 | (equation 2)
Subtract 3/5 × (equation 1) from equation 2:
{-(5 x) + y = 2 | (equation 1)
0 x - (23 y)/5 = 14/5 | (equation 2)
Multiply equation 2 by 5:
{-(5 x) + y = 2 | (equation 1)
0 x - 23 y = 14 | (equation 2)
Divide equation 2 by -23:
{-(5 x) + y = 2 | (equation 1)
0 x+y = (-14)/23 | (equation 2)
Subtract equation 2 from equation 1:
{-(5 x)+0 y = 60/23 | (equation 1)
0 x+y = -14/23 | (equation 2)
Divide equation 1 by -5:
{x+0 y = (-12)/23 | (equation 1)
0 x+y = -14/23 | (equation 2)
Collect results:
Answer: {x = -12/23
, y = -14/23
