How can I solve this system of linear equations by substitution 2x-3y=-24 and x+6y=18

To sub

solve for 1 variable

solve for x

minus 6y both sides on second equotn

x=18-6y

sub 18-6y for x in other equation

2 (18-6y) - 3y=-24

36-12y-3y=-24

36-15y=-24

minus 36 oth sides

-15y=-60

divide - 15 both sides

y=4

sub back

x=18-6y

x=18-4 (4)

x=18-16

x=2

x=2

y=4

(2,4)