Solve the following system:
{5 x+2 y = 17 | (equation 1)
x-2 y = 8 | (equation 2)
Subtract 1/5 × (equation 1) from equation 2:
{5 x+2 y = 17 | (equation 1)
0 x-(12 y)/5 = 23/5 | (equation 2)
Multiply equation 2 by 5:
{5 x+2 y = 17 | (equation 1)
0 x-12 y = 23 | (equation 2)
Divide equation 2 by -12:
{5 x+2 y = 17 | (equation 1)
0 x+y = (-23)/12 | (equation 2)
Subtract 2 × (equation 2) from equation 1:
{5 x+0 y = 125/6 | (equation 1)
0 x+y = -23/12 | (equation 2)
Divide equation 1 by 5:
{x+0 y = 25/6 | (equation 1)
0 x+y = -23/12 | (equation 2)
Collect results:
Answer: x = 25/6 and y = -23/12
