substitution if 2x-3y=-24 and x+6y=18

Question

i need to know how to solve the substuitution anxd the answer.

Answer 1

Substitution method

Given first equation 2x - 3y  = - 24 ---> (1)

Second equation x + 6y  = 18

x  = -6y + 18 ---> (2)

From (2) substitute the x  value in (1).

2(-6y + 18) - 3y  = -24

-12y + 36 - 3y  = -24

-15y + 36 = -24

-15y  = -60

y  = -60/-15

y  = 4

Substitute y  value in (2).

x  = -24+18

x  = -6

Solution x  = -6 and y  = 4.