Answer:
x = 7/5 , y = 6/5
Step-by-step explanation using elimination:
Solve the following system:
{x - 2 y = -1 | (equation 1)
2 x + y = 4 | (equation 2)
Swap equation 1 with equation 2:
{2 x + y = 4 | (equation 1)
x - 2 y = -1 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{2 x + y = 4 | (equation 1)
0 x - (5 y)/2 = -3 | (equation 2)
Multiply equation 2 by -2:
{2 x + y = 4 | (equation 1)
0 x+5 y = 6 | (equation 2)
Divide equation 2 by 5:
{2 x + y = 4 | (equation 1)
0 x+y = 6/5 | (equation 2)
Subtract equation 2 from equation 1:
{2 x+0 y = 14/5 | (equation 1)
0 x+y = 6/5 | (equation 2)
Divide equation 1 by 2:
{x+0 y = 7/5 | (equation 1)
0 x+y = 6/5 | (equation 2)
Collect results:
Answer: {x = 7/5 , y = 6/5