Step-by-step explanation:
Let a be the price of 1 adult ticket.
Let c be the price of 1 child ticket.
given,

as equation 1,
and

as equation 2.
Now we will solve for a and c using elimination method of simultaneous equations.
Now we multiply equation 2 by 2 to eliminate a and solve for c.

This new equation will be equation 3.
Now we will use equation 1 - equation 3 to eliminate a and solve for c.

Now substitute c into equation 2.

Therefore one adult ticket will cost $17.50 and one child ticket will cost $9.50.
<span>x-y=11 2x+y=19
x=11+y
2(11+y)+y=19
22+2y+y=19
3y=-3
y=-1
x=11-1=10</span>
Step-by-step explanation:
w = 34° (alternate interior angles)
x = 34° (vertically opposite angles)
y = 101°
z = 79° (corresponding angles)
Rewrite it as y=6x-7/5
Flip the x and y
x=6y-7/5
Solve
5x=6y-7
5x+7=6y
5/6x+7/6=y
f^-1(x)=5/6x+7/6