Solve the following system:
{16 x+15 y = 417 | (equation 1)
10 x+8 y = 480 | (equation 2)
Subtract 5/8 × (equation 1) from equation 2:
{16 x+15 y = 417 | (equation 1)
0 x-(11 y)/8 = 1755/8 | (equation 2)
Multiply equation 2 by 8:
{16 x+15 y = 417 | (equation 1)
0 x-11 y = 1755 | (equation 2)
Divide equation 2 by -11:
{16 x+15 y = 417 | (equation 1)
0 x+y = -1755/11 | (equation 2)
Subtract 15 × (equation 2) from equation 1:
{16 x+0 y = 30912/11 | (equation 1)
0 x+y = -1755/11 | (equation 2)
Divide equation 1 by 16:
{x+0 y = 1932/11 | (equation 1)
0 x+y = -1755/11 | (equation 2)
Collect results:
Answer: |
| {x = 1932/11
y = -1755/11
