Answer:
x = 5
, y = -1
Step-by-step explanation:
Solve the following system:
{4 y + x = 1 | (equation 1)
5 y + 3 x = 10 | (equation 2)
Swap equation 1 with equation 2:
{3 x + 5 y = 10 | (equation 1)
x + 4 y = 1 | (equation 2)
Subtract 1/3 × (equation 1) from equation 2:
{3 x + 5 y = 10 | (equation 1)
0 x+(7 y)/3 = -7/3 | (equation 2)
Multiply equation 2 by 3/7:
{3 x + 5 y = 10 | (equation 1)
0 x+y = -1 | (equation 2)
Subtract 5 × (equation 2) from equation 1:
{3 x+0 y = 15 | (equation 1)
0 x+y = -1 | (equation 2)
Divide equation 1 by 3:
{x+0 y = 5 | (equation 1)
0 x+y = -1 | (equation 2)
Collect results:
Answer: {x = 5
, y = -1
