Answer:
Per child admission costs $8.5
Per Adult admission costs $13.5
Step-by-step explanation:
Let x be the amount of admission per child and y be the amount of admission per adult
For Tom's party:
13x+2y=137.50 (Equation 1)
For Lisa's Party:
9x+2y=105.50 (Equation 2)
Using Elimination Method:
Add Equation 1 & 2
13x+2y=137.50
9x+2y=105.50
- - = - (Change of Signs)
---------------------------------
4x+0y=34.00
x=34/4
x=8.5
Putting the value of x in Equation 2
13(8.5)+2y=137.50
110.5+2y=137.50
2y=137.50-110.50
2y=27
y=27/2
y=13.5
Answer:
p=q
Step-by-step explanation:
all angles together is 180. p=70 degrees and q = 70 degrees
4x+7 would be your answer
Answer:
infinite solutions along the line y = 2x+1
Step-by-step explanation:
3y – 6x = 3
y = 2x + 1
Replace y in the first equation with the second equation
3 ( 2x+1) -6x =3
6x +3 -6x = 3
3=3
This is always true so there are infinite solutions along the line y = 2x+1
Answer:
y = 5 + 2x
Step-by-step explanation:
Simplifying
2y = 4x + 10
Reorder the terms:
2y = 10 + 4x
Solving
2y = 10 + 4x
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Divide each side by '2'.
y = 5 + 2x
Simplifying
y = 5 + 2x