Answer:
Adult tickets =125
Child tickets = 128
Step-by-step explanation:
Let the number of adult and children tickets sold be x and y respectively
So that
x+y= 253--------1
Since total sales/receipt is $2,771
And given that tickets for a dance recital cost $15 for adults and $7 for children hence
15x+7y= 2771-------2
Solving equation 1 and 2 simultaneously we have
x+y= 253---------------1
15x+7y= 2771----------2
Let us multiply equation 1 by 15 to get equation 3 to eliminate x and subtract equation 2 from 3
15x+15y=3795---------3
-{15x+7y= 2771----------2
0+8y=1024
8y= 1024
y= 1024/8
y= 128 tickets
So solve for x let us put y= 128 in equation 1
x+ 128=253
x=253-128
x= 125 tickets
<h3>Given :-</h3>


<h3>To find:</h3>


<h3>Solution:-</h3>
Let say it is first equation:-
x=y-1. . . . (1)
and this is second equation:-
x+2y=8 . . . . (2)

Simplifying 1 equation:-
- x = y - 1
- x +1 = y
- y = x + 1
Put this value of y in second equation.

















to find value of y :-
y = x + 1
y = 2 + 1
y = 3

verification:-

1 equation:-
x = y - 1
put value of x and y
2 = 3 - 1
2 = 2
LHS = RHS
Hence verified!

2 equation:-

put value of x and y
- 2 + 2 × 3 = 8
- 2 + 6 = 8
- 8 = 8
LHS = RHS
Hence verified!

Both equation verified!
.°. value of x and y is 2 and 3 respectively
A)


b)
since QR=QP, that means that QO is an angle bisector, and thus the segments it makes at the bottom of RO and OP, are also equal, thus RO=OP
thus, since the point P is 0.5 units away from the 0, point R is also 0.5 units away from 0 as well, however, is on the negative side, thus R (-0.5, 0)
c)
what's the equation of a line that passes through the points (-0.5, 0) and (0,2)?

The answer is 45x+y=-226. Hope this helps :)