Question

Solve the system by substitution.
-6y = x
x +y = -30

Answer 1

`- 6y = x \\ \\ y = - (x)/(6) \\ \\ \\ x + y = - 30 \\ x + ( - (x)/(6) ) = - 30 \\ \\ x - (x)/(6) = - 30 \\ \\ (6x)/(6) - (x)/(6) = - 30 \\ \\ (6x - x)/(6) = - 30 \\ \\ (5x)/(6) = - 30 \\ \\ 5x = - 30 * (6) \\ \\ 5x = - 180 \\ \\ x = - (180)/(5) \\ \\ x = - 36 \\ \\ \\ \\ y = - (x)/(6) \\ \\ y = - (( - 36))/(6) \\ \\ y = (36)/(6) = 6 \\ \\ y = 6 \\ \\ ( - 36 \: , \: 6)`