Answer:
x = -1
, y = -4
Step-by-step explanation by elimination:
Solve the following system:
{8 y - 5 x = -27 | (equation 1)
7 y - 8 x = -20 | (equation 2)
Swap equation 1 with equation 2:
{-(8 x) + 7 y = -20 | (equation 1)
-(5 x) + 8 y = -27 | (equation 2)
Subtract 5/8 × (equation 1) from equation 2:
{-(8 x) + 7 y = -20 | (equation 1)
0 x+(29 y)/8 = (-29)/2 | (equation 2)
Multiply equation 2 by 8/29:
{-(8 x) + 7 y = -20 | (equation 1)
0 x+y = -4 | (equation 2)
Subtract 7 × (equation 2) from equation 1:
{-(8 x)+0 y = 8 | (equation 1)
0 x+y = -4 | (equation 2)
Divide equation 1 by -8:
{x+0 y = -1 | (equation 1)
0 x+y = -4 | (equation 2)
Collect results:
Answer: {x = -1
, y = -4
