Answer :
yes, very good. correct equations
now simplify the second equation
12x+8y=140
undistribute the 4 in both 8 and 12
4(3x+2y)=140
divide both sides by 4
2x+3y=35
seconde equation
x+y=15
multiply by 2
2x+2y=30
compare
2x+3y=35
2x+2y=30
make the secondn one negative and add
2x+3y=35
-2x-2y=-30 +
0x+1y=5
y=5
subsiutte
x+y15
x+5=15
subttract 5
x=10
10 adults
5 kides
now simplify the second equation
12x+8y=140
undistribute the 4 in both 8 and 12
4(3x+2y)=140
divide both sides by 4
2x+3y=35
seconde equation
x+y=15
multiply by 2
2x+2y=30
compare
2x+3y=35
2x+2y=30
make the secondn one negative and add
2x+3y=35
-2x-2y=-30 +
0x+1y=5
y=5
subsiutte
x+y15
x+5=15
subttract 5
x=10
10 adults
5 kides