Answer:
x = -1
, y = 10 thus B: is your answer
Step-by-step explanation:
Solve the following system:
{-5 x = y - 5 | (equation 1)
-2 y = -x - 21 | (equation 2)
Express the system in standard form:
{-(5 x) - y = -5 | (equation 1)
x - 2 y = -21 | (equation 2)
Add 1/5 × (equation 1) to equation 2:
{-(5 x) - y = -5 | (equation 1)
0 x - (11 y)/5 = -22 | (equation 2)
Multiply equation 1 by -1:
{5 x + y = 5 | (equation 1)
0 x - (11 y)/5 = -22 | (equation 2)
Multiply equation 2 by -5/11:
{5 x + y = 5 | (equation 1)
0 x+y = 10 | (equation 2)
Subtract equation 2 from equation 1:
{5 x+0 y = -5 | (equation 1)
0 x+y = 10 | (equation 2)
Divide equation 1 by 5:
{x+0 y = -1 | (equation 1)
0 x+y = 10 | (equation 2)
Collect results:
Answer: {x = -1
, y = 10
