Y
=
−
2
x
+
5
y
=
-
2
x
+
5
Use the slope-intercept form to find the slope and y-intercept.
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Slope:
−
2
-
2
y-intercept:
(
0
,
5
)
(
0
,
5
)
Any line can be graphed using two points. Select two
x
x
values, and plug them into the equation to find the corresponding
y
y
values.
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x
y
0
5
5
2
0
Answer: Cost of tickets for adults = $22
Cost of tickets for children = $15
Total number of tickets sold = 732
Total receipts = $12,912
Let x be number of adult ticket's sold and y be the number of child ticket's sold.
Therefore, we have:
--------------- equation 1

Also, we have:

Now, let's substitute the value of x:






Now, let's substitute the value of y=456 in equation 1, we have:



Therefore, the number of child ticket's sold is 456 and number of adult ticket's sold is 276