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bija089 [108]
2 years ago
14

He school that Tony goes to is selling tickets to a play. On the first day of ticket sales the school

Mathematics
2 answers:
UNO [17]2 years ago
8 0

Answer:

The price of 1 adult ticket is 12 dollars, and the price of a ticket for one student is 7 dollars

Step-by-step explanation:

Make a system of equations for the two days that the play was shown.

Let x = the price of an adult ticket

Let y = the price of a student ticket

For the first day:

<h3>9x+8y=164</h3>

For the second day:

<h3>2x+7y=73</h3>

Now, we can solve using the elimination method. Multiply the first equation by 2 and the second equation by 9. Then swap the order of the equations.

<h3>18x+63y= 657</h3><h3>-</h3><h3>18x+16y= 328</h3><h3>0x+ 47y= 329</h3><h3>divide both sides by 47</h3><h3>y = 7</h3><h3>Plug in 7 for y for the 2nd equation</h3><h3>2x+7(7)=73</h3><h3>2x+49=73</h3><h3>subtract 49 from both sides</h3><h3>2x= 24</h3><h3>divide both sides by 2</h3><h3>x = 12 </h3><h3>Check:</h3><h3>2(12)+7(7)=73</h3><h3>24+49= 73!</h3>
mrs_skeptik [129]2 years ago
4 0

Answer: And I don’t know math

Step-by-step explanation:

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Step-by-step explanation:

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\displaystyle  \frac{1}{p}  +  \frac{1}{q}  +  \frac{1}{x}  =  \frac{1}{p  + q + x}

to do so isolate \frac{1}{x} to right hand side and change its sign which yields:

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factor out x:

\displaystyle  x( {x}^{} +   p ) + xq  + pq =  0

factor out q:

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group:

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and we are done!

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