Solve the system of equations given below.
-5x = y - 5
-2y = -x – 21
a (10,-45)
b. (-1,10)
c. (10,16)
d. (-1,-23)

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:

 {x = -1 , y = 10