Marcus and Laticia invited 68 friends to a spring break party. Laticia invited 12 fewer friends than Marcus. How many guests did each person invite to the party? Answer step-by-step please.​

Marcus invited 40 and Laticia invited 28  

Step-by-step explanation:

x+y=68          x+40=68  

x=y-12               -40 -40              

 y-12+y=68         x=28

2y-12=68  

 +12 +12

2y=80  

2    2

y=40  

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18