Answer:
x = -5
, y = 0
Step-by-step explanation:
Solve the following system:
{4 x + 7 y = -20 | (equation 1)
2 x - 5 y = -10 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{4 x + 7 y = -20 | (equation 1)
0 x - (17 y)/2 = 0 | (equation 2)
Multiply equation 2 by 2/17:
{4 x + 7 y = -20 | (equation 1)
0 x - y = 0 | (equation 2)
Multiply equation 2 by -1:
{4 x + 7 y = -20 | (equation 1)
0 x+y = 0 | (equation 2)
Subtract 7 × (equation 2) from equation 1:
{4 x+0 y = -20 | (equation 1)
0 x+y = 0 | (equation 2)
Divide equation 1 by 4:
{x+0 y = -5 | (equation 1)
0 x+y = 0 | (equation 2)
Collect results:
Answer: {x = -5
, y = 0
