Answer:
Y = 6
Step-by-step explanation:
On the first day of ticket sales the school <em><u>sold 3 </u></em>adult ticket and <em><u>8 student </u></em>tickets for a <em><u>total of $72</u></em>. The school took in <em><u>$152</u></em> on the second day by selling<em><u> 7 adult tickets and 16 student tickets.</u></em> How much is a student ticket?
Day 1: 3x + 7y = 72
Day 2: 7x + 16y = 152
This becomes a system of equations.
3x+8y=72
3x+8y+−8y=72+−8y (Add -8y to both sides)
3x=−8y+72
3x/3 = −(8y+72)/3
X = (-8/3) y + 24
Substitute (-8/3) y + 24 for x in7x+16y=152:
7(-8/3 y + 24) + 16y = 152
-8/3 y + 168 = 152 (Simplify both sides of the equation)
-8/3 y + 168 − 168 = 152 + (−168) (Add -168 to both sides)
-8/3 y = -16
(-8/3 y)/(-8/3 y) = -16/ -8/3 y (Divide both sides by (-8)/3)
<u><em>y = 6</em></u>
<em>If you wanted to keep going...</em>
Substitute 6f or y in x = (-8/3) y + 24
(-8/3) y + 24 = (-8/3) (6) + 24
SImplify: x = 8
<em>X = 8 and </em><u><em>Y = 6</em></u>
<u><em></em></u>
Hope this helps! <em>♥</em>
<u><em>~A.W.E.</em></u><em>S.W.A.N~</em>
